math i lab curriculum map 2018/2019 school year · math i lab curriculum map 2018/2019 school year...

MATH I LAB CURRICULUM MAP 2018/2019 SCHOOL YEAR

Standard Primary Resources --

THROUGHOUT THE YEAR

M.1HS.1a - Use units as a way to understand problems and to guide the solution of multi-step problems.

MVP I Primary - 4.2 MVP I Related - 3.4 - 3.6, 4.7H, 4.8H, 4.H, 5.5, 5.8, 5.9 Big Ideas I Primary – 1.2 Big Ideas Related – 1.5, 3.4

TREE Resources – by standard WVNextGenOER – Answers Need Unit ENY – Algebra 1 Module 1.1 ENY – Algebra I Module 1.2 ENY – Algebra I Module 1.3 ENY – Algebra I Module 1.4 ENY – Algebra I Module 1.5 ENY – Algebra I Module 1.25

M.1HS.1b - Choose and interpret units consistently in formulas. MVP I Primary - 4.2 MVP I Related - 3.4 - 3.6, 4.7H, 4.8H, 4.H, 5.5, 5.8, 5.9 Big Ideas I Primary – 1.2 Big Ideas Related – 1.5, 3.4


M.1HS.1c - Choose and interpret the scale and the origin in graphs and data displays.

MVP I Primary - 4.2 MVP I Related - 3.4 - 3.6, 4.7H, 4.8H, 4.H, 5.5, 5.8, 5.9 Big Ideas I Primary – 1.2 Big Ideas Related – 1.5, 3.4


M.1HS.2 - Define appropriate quantities for the purpose of descriptive modeling

MVP I Primary - 1.1 MVP I Primary - 4.2 MVP I Related - 4.2, 5.1, 5.2, 5.5, 5.6, 5.7 Big Ideas I Related – 3.3, 4.1, 5.1 – 5.3, 5.5, 6.5

TREE Resources – by standard WVNextGenOER – Appropriate Quantities ENY – Algebra 1 Module 1.1 ENY – Algebra I Module 1.2 ENY – Algebra I Module 1.3 ENY – Algebra I Module 1.4 ENY – Algebra I Module 1.5 ENY – Algebra 1 Module 5.1 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/m1_mod4_te_52016f.pdf

https://docs.google.com/spreadsheets/d/1FyAuZcu3-ZXghXBBJBOrtMT2APLXOFh_NnEZqm6y1Is/pubhtml

http://nextgen.wvnet.edu/Courses/lesson.php?c=1&u=1&l=1&t=Overview

https://www.engageny.org/resource/algebra-i-module-1-topic-lesson-1





https://www.engageny.org/resource/algebra-i-module-1-topic-d-lesson-25






















http://nextgen.wvnet.edu/Courses/lesson.php?c=1&u=1&l=2








https://www.engageny.org/resource/algebra-i-module-5-topic-b-lesson-4






M.1HS.3 - Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.

Big Ideas I Related – 4.5, 6.2, 6.3 TREE Resources – by standard WVNextGenOER – Accuracy in Measurement ENY – Algebra 1 Module 1.1 ENY – Algebra I Module 1.2 ENY – Algebra I Module 1.3 ENY – Algebra I Module 1.4 ENY – Algebra I Module 1.5 ENY – Algebra 1 Module 5.4 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

FIRST NINE WEEKS

Integers

M.4.3 - Solve multi-step word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding

ENY – Math 4 Unit 1.11 ENY – Math 4 Unit 1.12 ENY – Math 4 Unit 1.13 ENY – Math 4 Unit 1.14 ENY – Math 4 Unit 1.15 ENY – Math 4 Unit 1.16 ENY – Math 4 Unit 1.17 ENY – Math 4 Unit 1.19 ENY – Math 4 Unit 3.9 ENY – Math 4 Unit 3.10 ENY – Math 4 Unit 3.12 ENY – Math 4 Unit 3.13 ENY – Math 4 Unit 3.14

M.6.9 - Understand a rational number as a point on the number line. (6.NS.C.6)

TREE Resources by standard ENY – Math 6 – Unit 3.1 ENY – Math 6 – Unit 3.4 ENY – Math 6 – Unit 3.5 ENY – Math 6 – Unit 3.6 ENY – Math 6 – Unit 3.7 ENY – Math 6 – Unit 3.8 ENY – Math 6 – Unit 3.9 ENY – Math 6 – Unit 3.14 ENY – Math 6 – Unit 3.15 ENY – Math 6 – Unit 3.16 ENY – Math 6 – Unit 3.17 ENY – Math 6 – Unit 3.18 ENY – Math 6 – Unit 3.19













https://www.engageny.org/resource/grade-4-mathematics-module-1-topic-d-lesson-11


https://www.engageny.org/resource/grade-4-mathematics-module-1-topic-e-lesson-13




https://www.engageny.org/resource/grade-4-mathematics-module-1-topic-f-lesson-17


https://www.engageny.org/resource/grade-4-mathematics-module-3-topic-c-lesson-9





https://docs.google.com/spreadsheets/d/1QhSUnIGti8d7YtGBGNtw6S4jyxtKESs-QI898IcNy5k/pubhtml

https://www.engageny.org/resource/grade-6-mathematics-module-3-topic-lesson-1




https://www.engageny.org/resource/grade-6-mathematics-module-3-topic-b-lesson-7










M.6.10 (2) - Write, interpret, and explain statements of order for rational numbers in real-world contexts. (6.NS.C.7.B)

TREE Resources by standard ENY – Math 6 – Unit 3.7 ENY – Math 6 – Unit 3.8 ENY – Math 6 – Unit 3.9 ENY – Math 6 – Unit 3.10 ENY – Math 6 – Unit 3.11 ENY – Math 6 – Unit 3.12 ENY – Math 6 – Unit 3.13

M.6.8 - Understand that positive and negative numbers are used together to describe quantities having opposite directions or values. (6.NS.C.5)

TREE Resources by standard ENY – Math 6 – Unit 3.1 ENY – Math 6 – Unit 3.2 ENY – Math 6 – Unit 3.3

M.6.9 (1a) - Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line. (6.NS.C.6A)


M.6.9 (1b) -Recognize that the opposite of the opposite of a number is the number itself. (6.NS.C.6A)


M.6.9 (3a) - Find and position integers and other rational numbers on a horizontal or vertical number line diagram. (6.NS.C.6.C)

TREE Resources by standard ENY – Math 6 – Unit 3.1 ENY – Math 6 – Unit 3.4 ENY – Math 6 – Unit 3.5 ENY – Math 6 – Unit 3.6















































ENY – Math 6 – Unit 3.7 ENY – Math 6 – Unit 3.8 ENY – Math 6 – Unit 3.9 ENY – Math 6 – Unit 3.14 ENY – Math 6 – Unit 3.15 ENY – Math 6 – Unit 3.16 ENY – Math 6 – Unit 3.17 ENY – Math 6 – Unit 3.18 ENY – Math 6 – Unit 3.19

M.6.9 (2a) - Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane. (6NS.C.6.B)


M.6.9 (2b) - Recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. (6NS.C.6.B)


M.6.9 (3b) - Find and position pairs of integers and other rational numbers on a coordinate plane. (6.NS.C.6.C)
















































ENY – Math 6 – Unit 3.14 ENY – Math 6 – Unit 3.15 ENY – Math 6 – Unit 3.16 ENY – Math 6 – Unit 3.17 ENY – Math 6 – Unit 3.18 ENY – Math 6 – Unit 3.19

M.6.10 - Understand ordering and absolute value of rational numbers. (6.NS.C.7)


M.6.10 (3a) - Understand the absolute value of a rational number as its distance from 0 on the number line. (6.NS.C.7.C)


M.6.10 (3b) - Interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. (6.NS.C.7.C)


Expressions/Equations/Inequalities

M.6.13 - Write, read and evaluate expressions in which letters stand for numbers. (6.EE.A.1)

TREE Resources by standard ENY – Math 6 – Unit 4.5 ENY – Math 6 – Unit 4.6

M.6.13 (1a) - Write expressions that record operations with numbers and with letters standing for numbers. (6.EE.A2.A)

TREE Resources by standard ENY – Math 6 – Unit 4.7 ENY – Math 6 – Unit 4.9 ENY – Math 6 – Unit 4.10 ENY – Math 6 – Unit 4.11 ENY – Math 6 – Unit 4.13 ENY – Math 6 – Unit 4.14 ENY – Math 6 – Unit 4.15 ENY – Math 6 – Unit 4.16












































ENY – Math 6 – Unit 4.17 ENY – Math 6 – Unit 4.18 ENY – Math 6 – Unit 4.19 ENY – Math 6 – Unit 4.20 ENY – Math 6 – Unit 4.21 ENY – Math 6 – Unit 4.22

M.6.13 (3a) - Evaluate expressions at specific values of their variables. (6.EE.A2.C)

TREE Resources by standard ENY – Math 6 – Unit 4.7 ENY – Math 6 – Unit 4.9 ENY – Math 6 – Unit 4.10 ENY – Math 6 – Unit 4.11 ENY – Math 6 – Unit 4.13 ENY – Math 6 – Unit 4.14 ENY – Math 6 – Unit 4.15 ENY – Math 6 – Unit 4.16 ENY – Math 6 – Unit 4.17 ENY – Math 6 – Unit 4.18 ENY – Math 6 – Unit 4.19 ENY – Math 6 – Unit 4.20 ENY – Math 6 – Unit 4.21 ENY – Math 6 – Unit 4.22

M.6.13 (3b) - Perform arithmetic operations, including those involving whole number exponents, in the conventional order. (6.EE.A2.C)

TREE Resources by standard ENY – Math 6 – Unit 4.7 ENY – Math 6 – Unit 4.9 ENY – Math 6 – Unit 4.10 ENY – Math 6 – Unit 4.11 ENY – Math 6 – Unit 4.13 ENY – Math 6 – Unit 4.14 ENY – Math 6 – Unit 4.15 ENY – Math 6 – Unit 4.16 ENY – Math 6 – Unit 4.17 ENY – Math 6 – Unit 4.18 ENY – Math 6 – Unit 4.19 ENY – Math 6 – Unit 4.20 ENY – Math 6 – Unit 4.21 ENY – Math 6 – Unit 4.22

M.6.14c - Apply properties of operations to y + y + y to produce the equivalent expression 3y. (6.EE.A.3)
















































M.6.15 - Identify when two expressions are equivalent; i.e., when the two expressions name the same number regardless of which value is substituted into them. (e.g., The expressions y + y + y and 3y are equivalent because they name the same number regardless of which number y stands for.) (6.EE.A.4)


M.7.7 - Apply properties of operations as strategies to add, subtract, factor and expand linear expressions with rational coefficients. (7.EE.A.1)

TREE Resources by standard ENY -Math 7 – Unit 3.1 ENY -Math 7 – Unit 3.2 ENY -Math 7 – Unit 3.3 ENY -Math 7 – Unit 3.4 ENY -Math 7 – Unit 3.5 ENY -Math 7 – Unit 3.6

M.7.8 - Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. (7.EE.A.2)

TREE Resources by standard ENY -Math 7 – Unit 3.3 ENY -Math 7 – Unit 3.4 ENY -Math 7 – Unit 3.6

M.6.14a - Apply the properties of operations to generate equivalent expressions (e.g., apply the distributive property to the expression 3 (2 + x) to produce the equivalent expression 6 + 3x; (6.EE.A.3)


M.6.14b - Apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6 (4x + 3y).(6.EE.A.3)


M.1HS.4a - Interpret parts of an expression, such as terms, factors, and coefficients.

1. Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)n as the product of P and a factor not depending on P.

MVP I Primary – 1.1 MVP I Primary - 2.5 MVP I Related - 4.2, 5.2, 5.3, 5.6, 5.8, 5.9 Big Ideas I Primary-1.2, 3.5, 4.4, 4.5 Big Ideas Related – 3.3, 4.1, 4.2, 6.2

TREE Resources by standard WVNextGenOER – Interpreting Parts of Expressions




https://docs.google.com/spreadsheets/d/1CGmhvbW5dnOpo5VuOGdhWRZvPwcaYAHs1z6JKzeSSJU/pubhtml






























http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/m1_mod2_te_5_2015.pdf




M.1HS.4a - Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1 + r)n as the product of P and a factor not depending on P.

MVP I Primary – 1.1 MVP I Primary - 2.5 MVP I Related - 4.2, 5.2, 5.3, 5.6, 5.8, 5.9 Big Ideas I Primary-1.2, 3.5, 4.4, 4.5 Big Ideas Related – 3.3, 4.1, 4.2, 6.2

TREE Resources by standard WVNextGenOER – Interpreting Parts of Expressions

M.6.17a - Use variables to represent numbers and write expressions when solving a real-world or mathematical problem. (6.EE.B.6)


M.6.17b - Understand that a variable can represent an unknown number or depending on the purpose at hand, any number in a specified set. (6.EE.B.6)


M.1HS.5a - Create equations in one variable and use them to solve problems.

Big Ideas I Primary - 1.1 - 1.4, 2.1 - 2.6, 6.4 Big Ideas I Related – 8.2, 8.3, 8.5, 8.6, 10.2, 10.3, 10.5, 12.2, 12.4

TREE Resources by standard WVNextGenOER – Creating Equations/Inequalities that Model and Solve Problems ENY - Algebra 1 Module 1.25 ENY – Algebra I Module 1.27 ENY – Algebra I Module 1.28 ENY – Algebra 1 Module 3.21 ENY – Algebra I Module 3.22 ENY – Algebra I Module 3.23 ENY – Algebra I Module 3.24 ENY – Algebra 1 Module 4.5 ENY – Algebra I Module 4.7 ENY – Algebra I Module 4.12 ENY – Algebra I Module 4.16 ENY – Algebra 1 Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.6.10 (1) - Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. (6.NS.C.7.A)







https://www.engageny.org/resource/grade-6-mathematics-module-4-topic-g-lesson-28

































M.1HS.5b - Create inequalities in one variable. Big Ideas I Primary - 1.1 - 1.4, 2.1 - 2.6, 6.4

TREE Resources by standard WVNextGenOER – Creating Equations/Inequalities that Model and Solve Problems ENY - Algebra 1 Module 1.25 ENY – Algebra I Module 1.27 ENY – Algebra I Module 1.28 ENY – Algebra 1 Module 3.21 ENY – Algebra I Module 3.22 ENY – Algebra I Module 3.23 ENY – Algebra I Module 3.24 ENY – Algebra 1 Module 4.5 ENY – Algebra I Module 4.7 ENY – Algebra I Module 4.12 ENY – Algebra I Module 4.16 ENY – Algebra 1 Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.6.19a - Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. (6.EE.B.8)


M.6.19b - Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. (6.EE.B.8)


M.1HS.27 - Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step.Construct a viable argument to justify a solution method.

MVP I Primary - 4.1, 4.3 - 4.6 Big Ideas I Primary - 1.1, 6.4 Big Ideas Related – 1.2 – 1.4, 8.2, 8.3, 8.5, 8.6, 9.5, 10.2, 10.3, 10.5, 12.4

TREE Resources by standard WVNextGenOER – Properties and Justifications for Solving Linear Equations ENY – Algebra 1 Module 1.12 ENY – Algebra I Module 1.13

M.6.16a - Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? (6.EE.B.5)

TREE Resources by standard ENY – Math 6 – Unit 4.23 ENY – Math 6 – Unit 4.24 ENY – Math 6 – Unit 4.25 ENY – Math 6 – Unit 4.33 ENY – Math 6 – Unit 4.34

M.6.16b - Use substitution to determine whether a given number in a specified set makes an equation or inequality true. (6.EE.B.5)

TREE Resources by standard ENY – Math 6 – Unit 4.23 ENY – Math 6 – Unit 4.24 ENY – Math 6 – Unit 4.25 ENY – Math 6 – Unit 4.33 ENY – Math 6 – Unit 4.34





















https://www.engageny.org/resource/grade-6-mathematics-module-4-topic-h-lesson-33








https://www.engageny.org/resource/algebra-i-module-1-topic-c-lesson-12















M.1HS.28 - Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

MVP I Primary - 1.9, 1.10 MVP I Primary - 4.2 - 4.6 Big Ideas I Primary - 1.1-1.4,2.2-2.6

TREE Resources by standard ENY – Algebra 1 Module 1.10 ENY – Algebra 1 Module 1.11 ENY – Algebra 1 Module 1.12 ENY – Algebra 1 Module 1.13 ENY – Algebra 1 Module 1.14

M.1HS.6 - Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales

MVP I Primary – 2.5 MVP I Primary - 5.2 -5.4 MVP I Related – 1.1, 3.4, 3.5, 3.6, 3.8, 5.2, 5.5, 5.6, 5.7, 5.8, 5.9 Big Ideas I Primary - 3.2-3.5, 4.1-4.3, 6.1, 6.2 Big Ideas I Related – 4.4 – 4.6, 5.1 – 5.5, 6.3, 6.5, 10.5

TREE Resources by standard WVNextGenOER – Linear and Exponential Modeling with Two Variables ENY – Algebra 1 Modules 1.1 ENY – Algebra 1 Module 1.2 ENY – Algebra I Module 1.3 ENY – Algebra I Module 1.4 ENY – Algebra I Module 1.5 ENY – Algebra I Module 1.28 ENY – Algebra 1 Module 5.1 ENY – Algebra I Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.6.20a - Use variables to represent two quantities in a real-world problem that change in relationship to one another. (6.EE.C.9)


M.6.20b - Write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable.(6.EE.C.9)


M.6.20c - Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (6.EE.C.9)

ENY – Math 6 – Unit 4.31 ENY – Math 6 – Unit 4.32

Functions/Sequences

M.1HS.9 - Graph of an equation in two variables as set of solutions plotted in the coordinate plane.

Big Ideas I Primary - 3.2

ENY - Algebra I Module 1 TREE Resources by standard WVNextGenOER – Equations Represented by Graphs

M.1HS.11a - Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality).

MVP I Primary – 3.4 - 3.6 MVP I Primary - 5.1, 5.4 - 5.6 MVP I Related – 5.1 Big Ideas I Primary - 5.6, 5.7

TREE Resources by standard WVNextGenOER – Modeling Systems of Linear Inequalities ENY - Algebra I Module 1.21 ENY – Algebra I Module 1.22




































https://www.engageny.org/resource/algebra-i-module-1










ENY – Algebra I Module 1.24

M.1HS.11b - Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

MVP I Primary – 3.4 - 3.6 MVP I Primary - 5.1, 5.4 - 5.6 MVP I Related – 5.1 Big Ideas I Primary - 5.6, 5.7

TREE Resources by standard WVNextGenOER – Modeling Systems of Linear Inequalities ENY - Algebra I Module 1.21 ENY – Algebra I Module 1.22 ENY – Algebra I Module 1.24

M.1HS.14 - Recognize that sequences are functions, sometimes defined recursively. (Arithmetic)

MVP I Primary – 2.1, 2.2 MVP I Primary - 3.7 MVP I Related – 3.3 Big Ideas I Primary - 4.6, 6.5, 6.6

TREE Resources by standard ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2

M.1HS.20 - Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process or steps for calculation from a context. (Linear)

MVP I Primary – 1.3 - 1.8 MVP I Primary - 2.2 MVP I Primary - 3.5, 3.6 MVP I Primary - 8.4 - 8.6 MVP I Related – 8.4, 8.6 Big Ideas I Primary - 4.1, 4.2, 4.6, 6.1-6.3, 6.5, 6.6 Big Ideas I Related – 4.4

TREE Resources by standard WVNextGenOER – Modeling with Linear and Exponential Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY - Algebra I Module 5.1 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.20b - Combine standard function types using arithmetic operations. (Linear)

MVP I Primary – 1.3 - 1.8 MVP I Primary - 2.2 MVP I Primary - 3.5, 3.6 MVP I Primary - 8.4 - 8.6 MVP I Related – 8.4, 8.6 Big Ideas I Primary - 4.1, 4.2, 4.6, 6.1-6.3, 6.5, 6.6 Big Ideas I Related – 4.4

TREE Resources by standard WVNextGenOER – Modeling with Linear and Exponential Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY - Algebra I Module 5.1 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4




















































ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.21 - Write arithmetic sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

MVP I Primary – 2.4 Big Ideas I Primary - 4.6, 6.5, 6.6 (Focus on Linear/Arithmetic)

TREE Resources by standard

SECOND NINE WEEKS

M.1HS.14 - Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. (Geometric)

MVP I Primary – 2.1, 2.2 MVP I Primary - 3.7 MVP I Related – 3.3 Big Ideas I Primary - 4.6, 6.5, 6.6 (Focus on Exponential/Geometric)

TREE Resources by standard ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2

M.1HS.20a - Write a function that describes a relationship between two quantities. Determine an explicit expression, a recursive process or steps for calculation from a context.

MVP I Primary – 1.3- 1.8 MVP I Primary - 2.2 MVP I Primary - 3.5, 3.6 MVP I Primary - 8.4 - 8.6 MVP I Related – 8.4, 8.6 Big Ideas I Primary - 4.1, 4.2, 4.6, 6.1-6.3, 6.5, 6.6 Big Ideas I Related – 4.4

TREE Resources by standard WVNextGenOER – Modeling with Linear and Exponential Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY - Algebra I Module 5.1 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HA.20b - Combine standard function types using arithmetic operations (Exponential)

MVP I Primary – 1.3- 1.8 MVP I Primary - 2.2 MVP I Primary - 3.5, 3.6 MVP I Primary - 8.4 - 8.6 MVP I Related – 8.4, 8.6 Big Ideas I Primary - 4.1, 4.2, 4.6, 6.1-6.3, 6.5, 6.6 Big Ideas I Related – 4.4

TREE Resources by standard WVNextGenOER – Modeling with Linear and Exponential Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY - Algebra I Module 5.1

















































ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.21 - Write geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

MVP I Primary – 2.4 Big Ideas I Primary - 4.6, 6.5, 6.6 (Focus on Exponential/Geometric)

TREE Resources by standard

M.1HS.23a - Distinguish between situations that can be modeled with linear functions and with exponential functions.

MVP I Primary – 1.2 - 1.8 MVP I Primary - 2.2 MVP I Related – 5.2, 5.3 Big Ideas I Primary - 3.2, 4.1, 4.2, 6.1, 6.2 Big Ideas I Related – 3.5, 4.4, 4.5, 6.3

TREE Resources by standard WVNextGenOER – Modeling Linear and Exponential Functions ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY – Algebra 1 Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.23b - Prove that linear functions grow by equal differences over equal intervals; exponential functions grow by equal factors over equal intervals.


TREE Resources by standard WVNextGenOER – Modeling Linear and Exponential Functions ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY – Algebra 1 Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.23c - Recognize situations in which one quantity changes at a constant rate per unit interval relative to another. Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another


TREE Resources by standard WVNextGenOER – Modeling Linear and Exponential Functions ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY – Algebra 1 Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4
















































ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.24 - Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).

MVP I Primary – 1.2- 1.8,1.11 MVP I Primary - 2.2, 2.4, 2.6 Big Ideas I Primary - 4.1 - 4.3, 4.6, 6.1, 6.2, 6.5, 6.6 Big Ideas I Related – 5.6, 5.7, 6.3

TREE Resources by standard WVNextGenOER – Sequences Represented as Functions ENY – Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.4 ENY – Algebra I Module 3.5 ENY – Algebra I Module 3.6 ENY – Algebra I Module 3.7 ENY – Algebra I Module 3.22 ENY – Algebra I Module 3.23 ENY – Algebra I Module 5.1 ENY – Algebra 1 Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.5 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.7 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.12 - Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range.

MVP I Primary – 3.7 MVP I Related - 3.1 - 3.6, 8.4 - 8.6 Big Ideas I Primary - 3.1, 3.3

TREE Resources by standard WVNextGenOER – Introduction to Functions WVNextGenOER – Sequences Represented as Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.8 ENY – Algebra I Module 3.9 ENY – Algebra I Module 3.10 ENY – Algebra I Module 3.11 ENY – Algebra I Module 3.12

M.1HS.13 - Use function notation, evaluate functions for inputs in their domains and interpret statements that use function notation in terms of a context.

MVP I Primary – 3.4 - 3.6 MVP I Related – 8.4, 8.5, 8.6 Big Ideas I Primary - 3.3, 3.6 Big Ideas I Related – 3.5, 4.1, 4.2, 4.6, 6.1 – 6.3, 6.5, 6.6

TREE Resources by standard WVNextGenOER – Sequences Represented as Functions ENY - Algebra I Module 3.1 ENY – Algebra I Module 3.2 ENY – Algebra I Module 3.3 ENY – Algebra I Module 3.8 ENY – Algebra I Module 3.9













































ENY – Algebra I Module 3.10 ENY – Algebra I Module 3.11 ENY – Algebra I Module 3.12

M.1HS.16 - Relate the domain of a function to its graph. MVP I Primary – 3.2- 3.6 Big Ideas I Primary - 3.2 Big Ideas I Related – 3.4, 3.5, 6.1

TREE Resources by standard WVNextGenOER – Functional Relationships ENY – Algebra I Module 3.8 ENY – Algebra I Module 3.11 ENY – Algebra I Module 3.12 ENY – Algebra I Module 3.13 ENY – Algebra I Module 3.14 ENY – Algebra I Module 5.1 ENY – Algebra I Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.17 - Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

MVP I Related – 3.1, 3.2 Big Ideas I Primary - 6.3 Big Ideas I Related – 6.2

TREE Resources by standard WVNextGenOER – Linear and Exponential Functional Rates of Change ENY- Algebra I Module 3.4 ENY – Algebra I Module 3.22 ENY – Algebra I Module 3.23 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.15 - For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, and positive or negative.

MVP I Primary – 3.1- 3.6 Big Ideas I Primary - 3.5, 6.1 Big Ideas I Related – 3.3, 3.4, 6.3

TREE Resources by standard WVNextGenOER – Functional Relationships ENY - Algebra I Module 3.11 ENY – Algebra I Module 3.12 ENY – Algebra I Module 3.13 ENY – Algebra I Module 3.14 ENY – Algebra I Module 3.23 ENY - Algebra I Module 5.1 ENY – Algebra I Module 5.2 ENY – Algebra I Module 5.3 ENY – Algebra I Module 5.4 ENY – Algebra I Module 5.6 ENY – Algebra I Module 5.8 ENY – Algebra I Module 5.9

M.1HS.18 - Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

MVP I Primary – 2.4, 2.6 MVP I Primary - 3.4 - 3.6 MVP I Related – 3.1

TREE Resources by standard WVNextGenOER – Features of Functions ENY - Algebra I Module 3.11 ENY – Algebra I Module 3.12


















































1. Graph linear functions and show intercepts. 2. Graph exponential functions, showing intercepts and end behavior.

Big Ideas I Primary- 3.2-3.6, 6.1, 6.2 Big Ideas I Related – 6.3

ENY – Algebra I Module 3.15 ENY – Algebra I Module 3.16 ENY – Algebra I Module 3.18 ENY – Algebra I Module 3.20

M.1HS.19 - Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions).

MVP I Primary – 8.4 - 8.6 Big Ideas I Primary - 3.3, 6.1, 6.2 Big Ideas I Related – 4.2, 6.3

TREE Resources by standard WVNextGenOER – Functional Comparisons of Linear and Exponential Models

THIRD NINE WEEKS

Systems

M.1HS.10 - Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x).

MVP I Primary – 3.4, 3.5, 3.6 Big Ideas I Primary - 5.5, 6.4 Big Ideas I Related – 5.1, 5.4, 6.3, 6.5

TREE Resources by standard WVNextGenOER – X Marks the Spot ENY - Algebra I Module 3.16

M.1HS.10 - Find the solutions approximately to f(x) = g(x), (e.g., using technology to graph the functions, make tables of values, or find successive approximations). Include cases where f(x) and/or g(x) are linear, and exponential functions.

MVP I Primary – 3.4, 3.5, 3.6 Big Ideas I Primary - 5.5, 6.4 Big Ideas I Related – 5.1, 5.4, 6.3, 6.5

TREE Resources by standard WVNextGenOER – X Marks the Spot ENY - Algebra I Module 3.16

M.1HS.30 - Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

MVP I Primary – 5.7- 5.10 MVP I Related – 5.11H, 5.12H, 8.10H Big Ideas I Primary - 5.1-5.4

TREE Resources by standard WVNextGenOER – Solving Systems of Linear Equations by Graphing WVNextGenOER – Solving Systems of Linear Equations by Elimination WVNextGenOER – Unit 3 Capstone Performance Task ENY – Algebra I Module 1.22 ENY – Algebra I Module 1.24

M.8.10 (1) - Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously (8.EE.C.8)
























https://docs.google.com/spreadsheets/d/1RS3SOVBPJahXOaSf3NhQq8UDWmg9dmL9543MpjkzziU/pubhtml










M.8.10 (2) - Solve systems of two linear equations in two variables algebraically and estimate solutions by graphing the equations. (8.EE.C.8)


M.1HS.29 – Solve system of equations by elimination. MVP I Primary – 5.8, 5.9 Big Ideas I Primary - 5.3

TREE Resources by standard ENY - Algebra I Module 1.23

M.1HS.11a - Graph the solutions to a linear inequality in two variables as a half-plane.

MVP I Primary – 3.4 - 3.6 MVP I Primary - 5.1, 5.4- 5.6 Big Ideas I Primary - 5.6, 5.7


M.1HS.11b - Graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

MVP I Primary – 3.4 - 3.6 MVP I Primary - 5.1, 5.4- 5.6 Big Ideas I Primary - 5.6, 5.7


Statistics

M.6.26 - Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center (mean/median), spread (range), and overall shape. (6.SPA.2)


M.7.19a - Recognize that a measure of center for a numerical data set summarizes all of its values with a single number. (6.SPA.3)


M.7.19b - Recognize that a measure of variation describes how its values vary with a single number. (6.SPA.3)


M.1HS.31 - Represent data with plots on the real number line (dot plots, histograms, and box plots)

MVP I Primary – 9.1, 9.2 MVP I Related – 9.4 Big Ideas I Primary - 7.2, 7.3, 7.5 Big Ideas I Related – 7.1

TREE Resources by standard WVNextGenOER – Graphic Representations ENY – Algebra I Module 2.1 ENY – Algebra I Module 2.2 ENY – Algebra I Module 2.3 ENY – Algebra I Module 2.4 ENY – Algebra I Module 2.6 ENY – Algebra I Module 2.7

















































ENY – Algebra I Module 2.8

M.1HS.33 - Interpret differences in shape, center and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

MVP I Primary – 9.1, 9.2 MVP I Related – 9.4 Big Ideas I Primary - 7.1 - 7.3

TREE Resources by standard WVNextGenOER – Normal Distribution ENY – Algebra I Module 2.1 ENY – Algebra I Module 2.2 ENY – Algebra I Module 2.3 ENY – Algebra I Module 2.4 ENY – Algebra I Module 2.6 ENY – Algebra I Module 2.7 ENY – Algebra I Module 2.8

FOURTH NINE WEEKS

M.1HS.34a - Summarize categorical data for two categories in two-way frequency tables.

MVP I Primary – 9.3, 9.4 Big Ideas I Primary - 7.4

TREE Resources by standard WVNextGenOER – Categorical Data – 2 Way Frequency Tables ENY – Algebra I Module 2.9 ENY – Algebra I Module 2.10 ENY – Algebra I Module 2.11

M.1HS.34b - Interpret relative frequencies in the context of the data (including joint, marginal and conditional relative frequencies). Recognize possible associations and trends in the data.

MVP I Primary – 9.3, 9.4 Big Ideas I Primary - 7.4

TREE Resources by standard WVNextGenOER – Categorical Data – 2 Way Frequency Tables ENY – Algebra I Module 2.9 ENY – Algebra I Module 2.10 ENY – Algebra I Module 2.11

M.8.25a - Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. (8.SPA.1)


M.8.25b - Describe patterns in scatter plots, such as clustering, outliers, positive or negative association, linear association and nonlinear association. (8.SPA.1)


M.1HS.36 - Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data

MVP I Primary – 9.6, 9.7, 9.9 Big Ideas I Primary - 4.4, 4.5 Big Ideas I Related – 3.5, 4.1, 4.2

TREE Resources by standard ENY – Algebra I Module 2.14 ENY – Algebra I Module 2.15 ENY – Algebra I Module 2.19 ENY – Algebra I Module 2.20

Geometry

M.1HS.39 - Know precise definitions of angle, circle, perpendicular line, parallel line and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

MVP I Primary – 6.1, 6.2, 6.4 MVP I Related – 6.3 Big Ideas I Primary - 8.1, 8.2, 8.5, 8.6, 10.1 Big Ideas I Related – 8.3, 8.4, 9.1, 9.4, 9.5, 10.2 – 10.5

TREE Resources by standard WVNextGenOER – Geometry Vocabulary WVNextGenOER – Geometry Glossary ENY – Geometry Module 1.1 ENY – Geometry Module 1.2 ENY – Geometry Module 1.3 ENY – Geometry Module 1.33










































https://www.engageny.org/resource/geometry-module-1-topic-lesson-1



https://www.engageny.org/resource/geometry-module-1-topic-g-lesson-33


ENY – Geometry Module 1.34

M.8.16 - Verify experimentally the properties of rotations, reflections and translations:

1. Lines are taken to lines, and line segments to line segments of the same length.

2. Angles are taken to angles of the same measure. 3. Parallel lines are taken to parallel lines. (8.G.A.1)

TREE Resources by standard ENY – Math 8 – Unit 2.1 ENY – Math 8 – Unit 2.2 ENY – Math 8 – Unit 2.3 ENY – Math 8 – Unit 2.4 ENY – Math 8 – Unit 2.5 ENY – Math 8 – Unit 2.6

M.1HS.40a - Represent transformations in the plane using, for example, transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).

MVP I Primary – 6.4 MVP I Related – 6.1, 6.3, 8.11H Big Ideas I Primary - 11.1-11.3

TREE Resources by standard WVNextGenOER – An Introduction to Transformations WVNextGenOER – Transformations Viewed Algebraically WVNextGenOER – Properties Preserved by Reflections WVNextGenOER – Properties Preserved by Rotations WVNextGenOER – Rigid versus Non-Rigid Motion ENY – Geometry Module 1.12 ENY – Geometry Module 1.13 ENY – Geometry Module 1.14 ENY – Geometry Module 1.16

M.1HS.40b - Describe transformations as functions that take points in the plane as inputs and give other points as outputs.


TREE Resources by standard WVNextGenOER – An Introduction to Transformations WVNextGenOER – Transformations Viewed Algebraically WVNextGenOER – Properties Preserved by Reflections WVNextGenOER – Properties Preserved by Rotations WVNextGenOER – Rigid versus Non-Rigid Motion ENY – Geometry Module 1.12 ENY – Geometry Module 1.13 ENY – Geometry Module 1.14 ENY – Geometry Module 1.16

M.1HS.40c - Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).


TREE Resources by standard WVNextGenOER – An Introduction to Transformations WVNextGenOER – Transformations Viewed Algebraically

https://www.engageny.org/resource/geometry-module-1-topic-g-lesson-34















https://www.engageny.org/resource/geometry-module-1-topic-c-lesson-12




















WVNextGenOER – Properties Preserved by Reflections WVNextGenOER – Properties Preserved by Rotations WVNextGenOER – Rigid versus Non-Rigid Motion ENY – Geometry Module 1.12 ENY – Geometry Module 1.13 ENY – Geometry Module 1.14 ENY – Geometry Module 1.16

M.8.18 - Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates. (8.G.A.3)


M.1HS.43 - Given a geometric figure and a rotation, reflection or translation draw the transformed figure using, e.g., graph paper, tracing paper or geometry software. Specify a sequence of transformations that will carry a given figure onto another.

MVP I Primary – 6.1, 6.3 MVP I Primary - 7.3 MVP I Related – 6.4, 6.5, 6.6, 7.4, 8.2, 8.11H Big Ideas I Primary - 11.1-11.4 Big Ideas I Related – 12.2, 12.3, 12.5, 12.6

TREE Resources by standard WVNextGenOER – An Introduction to Transformations WVNextGenOER – Transformations Viewed Algebraically WVNextGenOER – Properties Preserved by Translations WVNextGenOER – Properties Preserved by Reflections WVNextGenOER – Properties Preserved by Rotations ENY – Geometry Module 1.13 ENY – Geometry Module 1.14 ENY – Geometry Module 1.16 ENY – Geometry Module 1.17 ENY – Geometry Module 1.18

M.1HS.44a - Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

MVP I Primary – 6.5 - 6.7 MVP I Primary - 7.4 MVP I Related – 6.1, 6.3, 6.4, 7.3 Big Ideas I Primary - 11.1-11.4

TREE Resources by standard WVNextGenOER – Properties Preserved by Translations ENY – Geometry Module 1.17 ENY – Geometry Module 1.19

M.1HS.44b - Given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.

MVP I Primary – 6.5 - 6.7 MVP I Primary - 7.4 MVP I Related – 6.1, 6.3, 6.4, 7.3 Big Ideas I Primary - 11.1-11.4

TREE Resources by standard WVNextGenOER – Properties Preserved by Translations ENY – Geometry Module 1.17 ENY – Geometry Module 1.19

















http://www.mathematicsvisionproject.org/uploads/1/1/6/3/11636986/m1_mod7_te_62016r.pdf

























M.1HS.50 - Prove the slope criteria for parallel and perpendicular lines; use them to solve geometric problems. (e.g., Find the equation of a line parallel or perpendicular to a given line that passes through a given point.)

MVP I Primary – 6.2, 6.4 MVP I Primary - 8.2 MVP I Related – 6.1, 8.3 Big Ideas I Primary - 4.3, 10.5, 12.7

TREE Resources by standard WVNextGenOER – Parallel and Perpendicular Lines on a Coordinate Plane ENY – Geometry Module 4.6 ENY – Geometry Module 4.7 ENY – Geometry Module 4.8

M.1HS.41 - Given a rectangle, parallelogram, trapezoid or regular polygon, describe the rotations and reflections that carry it onto itself.

MVP I Primary – 6.5 - 6.7 Big Ideas I Primary - 11.2, 11.3

TREE Resources by standard WVNextGenOER – Properties Preserved by Reflections WVNextGenOER – Properties Preserved by Rotations ENY – Geometry Module 1.15

M.6.23a - Draw polygons in the coordinate plane given coordinates for the vertices. (6.G.A.3)


M.6.23b - Use coordinates of polygons to find the length of a side joining points with the same first coordinate or the same second coordinate. (6.G.A.3)


M.1HS.51 - Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, (e.g., using the distance formula).

MVP I Primary – 8.1 MVP I Related – 8.3 Big Ideas I Primary - 8.4

TREE Resources by standard WVNextGenOER – Connecting the Pythagorean Theorem and the Distance Formula Part 1 WVNextGenOER – Connecting the Pythagorean Theorem and the Distance Formula Part 2 WVNextGenOER – Unit 6 Capstone Performance Task ENY – Geometry Module 4.1 ENY – Geometry Module 4.2 ENY – Geometry Module 4.3 ENY – Geometry Module 4.4 ENY – Geometry Module 4.9 ENY – Geometry Module 4.10 ENY – Geometry Module 4.11





https://www.engageny.org/resource/geometry-module-4-topic-b-lesson-6























https://www.engageny.org/resource/geometry-module-4-topic-a-lesson-1







math i lab curriculum map 2018/2019 school year · math i lab curriculum map 2018/2019 school year...

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