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A Complete Math Solution for Grades K–12 Grades K–8 Concepts and Skills Progression and the Common Core State Standards for Mathematics

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Page 1: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

Grades K–8

Concepts and Skills Progression and the Common Core State Standards for Mathematics

Page 2: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

Instruction aligned to the Common Core State Standards

The enVision Series is exclusively written to help you teach the Common Core State Standards. The Standards for Mathematical Practice are embedded in every lesson to support long-term learning goals.

Deeper understanding through visual learning

The enVision Series has visual learning as one of its foundational concepts. Only Pearson partners with Stuart Murphy, a visual learning specialist and author of the popular MathStart books. Bar diagrams, step-by-step visual models, and frequent visual cues help to clarify abstract concepts.

Technology that fits your classroom

enVisionMATH Common Core and Pearson High School Mathematics Common Core allow you to choose from print only, a blend of print and digital, or a totally digital delivery. digits is designed specifically for instruction using an interactive whiteboard and any time, anywhere online resources. Digital instruction and content support the ways you want to teach and motivate students to learn.

Problem-solving through interactive exploration

The enVision Series focuses on problem solving, reasoning, and communication. Every lesson begins with Problem-Based Interactive Learning as both a vehicle for instruction and an opportunity to demonstrate understanding.

Give your students a cohesive and rigorous path to mathematics success with Pearson’s enVision Series™:•enVisionMATH® CommonCore for Grades K–6,•digits™ for Grades 6–8, and •Pearson High School Mathematics Common Core for Grades 9–12

These three programs share a core authorship team that ensures integrated development of math concepts and skills, and a consistent pedagogy across the grades. These programs are completely aligned to the Common Core State Standards for Mathematics.

STATESTANDARDS

Envision Success for All Your Mathematics StudentsA Complete Math Solution

for Grades K–12

32

This document shows how the enVision Series for Grades K–8 aligns to the Common Core State Standards for Mathematics. Each CC standard is fully covered in the context of a coherent progression of conceptual knowledge and skill mastery. See at a glance the cohesive and rigorous path of content coverage from kindergarten through Grade 8, meeting every Common Core Standard in depth.

Go to PearsonSchool.com or contact your local Pearson representative for more information on these programs.

Page 3: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

54

Number and Operations ™ Common Core

Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 6 Grade 7 Grade 8Count objectsK.CC.4, K.CC.4.a, K.CC.4.b, K.CC.4.c, K.CC.5

Topics 1, 2, 3, 6counting and cardinality

Count in sequence K.CC.1, K.CC.2, 1.NBT.1, 2.NBT.2

Topics 4, 5, 6 to 100 by 1s, 10s

Topic 7 to 120

Topics 5, 6, 10 to 1000 by 5s, 10s, 100s

Name and write numbers K.CC.3, 1.NBT.1, 2.NBT.3, 3.NBT.1, 4.NBT.2, 4.NF.6, 5.NBT.3, 5.NBT.3.a, 6.NS.4, 7.NS.1, 8.EE.3

Topics 1, 2, 3 whole numbers

Topic 7whole numbers

Topics 5, 10whole numbers

Topic 1whole numbers

Topics 3, 13 whole numbers,

decimals

Topic 1decimals

Topic 5 GCF, LCM, integers, rational numbers

Topics 2, 8, 9 GCF, LCM, integers, rational numbers

Topic 4 rational numbers

Topic 4 powers of 10

Compare and order numbers K.CC.6, K.CC.7, 1.NBT.3, 2.NBT.4, 3.NF.3.d, 4.NBT.2, 4.NF.7, 5.NBT.3.b, 5.NF.5.a, 6.NS.6.c, 6.NS.7, 6.NS.7.a, 6.NS.7.b

Topics 2, 4whole numbers

Topic 9whole numbers

Topics 5, 10whole numbers

Topic 10fractions

Topics 3, 13 whole numbers,

decimals

Topic 1fraction products,

decimals

Topic 10rational numbers

Topic 9rational numbers

Round numbers 3.NBT.1, 4.NBT.3, 5.NBT.4

Topic 2whole numbers

Topics 5, 7 whole numbers

Topic 2decimals

Place value in the base-ten system K.NBT.1, 1.NBT.2, 1.NBT.2.a, 1.NBT.2.b, 1.NBT.2.c, 2.NBT.1, 2.NBT.1.a, 2.NBT.1.b, 3.NBT.2, 4.NBT.1, 5.NBT.1

Topics 10, 11 two-digit whole numbers

Topics 7, 8, 9 two-digit whole numbers

Topics 5, 10 three-digit whole numbers

Topic 3in whole number

operations

Topics 3, 10multi-digit

whole numbers

Topic 1multi-digit whole

numbers and decimals

Fractions1.G.3, 2.G.3, 3.NF.1, 3.NF.2, 3.NF.2.a, 3.NF.2.b, 3.G.2, 4.NF.1, 5.NF.5.a

Topic 16partitioning

Topic 12partitioning

Topics 9, 10, 14 unit fractions

on number line

Topic 11 equivalence in operations

Topic 11 in operations

System of rational numbers6.NS.5, 6.NS.6, 6.NS.6.a, 6.NS.6.b, 6.NS.7.c, 6.NS.7.d, 7.NS.2.c, 8.NS.1

Topic 10 integers, fractions

Topics 8, 9 integers, fractions

Topic 4 decimal forms

Topic 1 decimal expansion

System of irrational numbers8.NS.2, 8.EE.2

Topics 1, 3 square, cube root, irrational numbers

Properties of operations1.OA.3, 1.OA.7, 2.NBT.5, 2.NBT.6, 2.NBT.7, 2.NBT.9, 3.OA.5, 3.OA.7, 3.OA.9, 3.NBT.2, 3.NBT.3, 4.NBT.5, 4.NF.3.c, 5.NBT.7, 6.EE.3, 6.EE.4, 7.EE.1, 7.EE.3, 8.EE.1

Topics 1, 2, 4, 5 addition, subtraction,

equivalence

Topics 2, 3, 6, 8, 11 addition, subtraction,

whole numbers

Topics 2–5, 7 multiplication, division,

whole numbers

Topics 5–8, 12 addition, subtraction

fractions

Topic 2 with decimals

Topics 2, 4 with algebraic expressions;

equivalent expressions

Topic 2 with algebraic expressions;

equivalent expressions

Topics 7, 8 with linear expressions,

rational numbers

Topic 3 integer exponents

Whole numbers K.OA.2, K.OA.5, 1.OA.4, 1.OA.5, 1.OA.6, 1.NBT.4, 1.NBT.5, 1.NBT.6, 2.OA.2, 2.OA.4, 2.NBT.5, 2.NBT.6, 2.NBT.7, 2.NBT.8, 2.NBT.9, 2.MD.5, 2.MD.6, 3.NBT.2, 3.MD.7.d, 4.NBT.4, 4.MD.2, 4.MD.7, 5.MD.5.c

Topics 7, 8 within 10;

fluently within 5

Topics 2, 4, 6, 8–11, 15 within 100;

fluently within 10

Topics 1–11, 15 within 1000;

add fluently within 100; subtract fluently within 20

Topics 2, 3 fluently within 1000

Topics 4, 13–16 multi-digit using

standard algorithm fluently within 1,000,000

Topic 12 adding volume

Fractions 4.NF.3, 4.NF.3.a, 4.NF.3.b, 4.NF.3.c, 4.NF.3.d, 4.NF.5, 4.MD.2, 5.NF.1, 5.NF.2

Topics 12, 15 like denominators

Topics 9, 10 unlike denominators

Decimals 4.MD.2, 5.NBT.7, 6.NS.3

Topic 15 distance, time, liquid volume

Topic 2 to hundredths

Topic 3 standard algorithm

Topic 7 standard algorithm

Rational numbers7.NS.1, 7.NS.1.a, 7.NS.1.b, 7.NS.1.c, 7.NS.1.d, 7.NS.3, 8.EE.4

Topic 4 negative rational numbers

Topic 4 scientific notation

Whole numbers2.G.2, 3.OA.6, 3.OA.7, 3.NBT.3, 3.MD.7, 3.MD.7.a, 3.MD.7.b, 3.MD.7.c, 4.NBT.5, 4.NBT.6, 4.MD.2, 5.NBT.5, 5.NBT.6, 5.MD.5.a, 5.MD.5.b, 6.NS.2

Topic 12 partitioning

Topics 5–8, 14 fluently within 100;

relate to area

Topics 5–10, 15 4-digit by 1-digit; 2-digit by 2-digit

Topics 3, 4, 5, 12 standard algorithm, multiply multi-digit

numbers fluenty

Topic 3 divide multi-digit numbers fluently,

standard algorithm

Topic 6 divide multi-digit numbers fluently,

standard algorithm

Fractions 4.NF.4, 4.NF.4.a, 4.NF.4.b, 4.NF.4.c, 4.MD.2, 5.NF.3, 5.NF.4, 5.NF.4.a, 5.NF.5.b, 5.NF.6, 5.NF.7, 5.NF.7.a, 5.NF.7.b, 5.NF.7.c, 6.NS.1

Topics 13, 15 fraction by whole

number; measurements

Topic 11 fraction dividend,

whole number divisor

Topics 6, 8, 9 fraction dividend

and divisor

Topics 5, 7 fraction dividend

and divisor

Decimals4.MD.2, 5.NBT.7, 6.NS.3

Topics 13, 15 measurements

Topic 6 to hundredths

Topic 3 standard algorithm

Topics 6, 7 standard algorithm

Rational numbers7.NS.2, 7.NS.2.a, 7.NS.2.b, 7.NS.2.c, 7.NS.2.d, 7.NS.3, 8.EE.4

Topic 5 negative rational numbers

Topic 4 scientific notation

Determine fraction equivalence 3.NF.3, 3.NF.3.a, 3.NF.3.b, 3.NF.3.c, 4.NF.1, 4.NF.2

Topic 10 compare

(like denominators)

Topic 11 compare

(unlike denominators)

Understand ratio concepts 5.NF.5, 5.NF.5.a, 6.RP.1, 6.RP.2, 7.G.1, 8.G.3

Topic 11 scaling

Topics 12, 13 unit rate,

ratio relationship

Topics 10, 11 unit rate,

ratio relationship

Topic 2 scale factor

Topic 10 dilations

Use ratio reasoning to solve problems6.RP.3, 6.RP.3.a, 6.RP.3.b, 6.RP.3.c, 6.RP.3.d

Topics 12, 13, 14 equivalent ratios, percents

Topic 12 equivalent ratios, percents

Analyze proportional relationships and use to solve problems 7.RP.1, 7.RP.2, 7.RP.2.a, 7.RP.2.b, 7.RP.2.c, 7.RP.2.d, 7.RP.3, 8.EE.5

Topics 1, 2, 3 constant of proportionality,

percent

Topic 5 graph relationshipsM

ulti

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ativ

e Re

ason

ing

Mul

tipl

icat

ion

an

d D

ivis

ion

Add

itio

n a

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Subt

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and

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CC = Counting and Cardinality; G = Geometry; EE = Expressions and Equations; MD = Measurement and Data; NBT = Number and Operations in Base Ten; NF = Number and Operations/Fractions; NS = The Number System; OA = Operations and Algebraic Thinking; RP = Ratios and Proportional Relationships; SP = Statistics and Probability

Math Concepts and SkillsSee Common Core State Standards Key at bottom of page

Page 4: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

76

Algebraic Thinking ™ Common Core

Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 6 Grade 7 Grade 8Identify and explain numeric patterns2.OA.3, 3.OA.9, 4.OA.4, 5.NBT.2, 6.SP.5.c, 7.RP.2, 8.SP.1 Topic 5

odd/evenTopics 2, 4, 5, 7

arithmetic patterns

Topics 1, 11 factors, multiples, prime, composite

Topics 6, 7 in multiplication by powers of 10

Topic 19 in measure of center

and variability

Topic 16 in measure of center

and variability

Topic 2 in proportional relationships

Topic 14 in bivariate data

Generate and analyze patterns4.OA.5, 5.OA.3

Topics 1, 2 numeric or shape

with 1 rule

Topics 8, 16 numeric with 2 rules

AdditionK.OA.1, K.OA.3, K.OA.4, 1.OA.1, 1.OA.5, 2.OA.1, 3.OA.8, 4.OA.3, 5.NF.2

Topics 7, 9 use objects for unknown

Topics 1, 4, 5 use symbol for unknown

Topics 1, 2, 4, 6, 8, 9 use symbol for unknown

Topics 2, 3 two-step equation;

use letter for unknown

Topic 4 multi-step equation;

use letter for unknown

Topics 9, 10 fractions with unlike

denominators; use models

SubtractionK.OA.1, 1.OA.1, 1.OA.4, 1.OA.5, 1.OA.8, 2.OA.1, 3.OA.8, 4.OA.3, 5.NF.2 Topic 8

use objects for unknownTopics 2, 3, 4, 6

use symbol for unknownTopics 1, 3, 7, 9

use symbol for unknown

Topics 2, 3 two-step equation;

use letter for unknown

Topic 4 two-step equation;

use letter for unknown

Topics 9, 10 fractions with unlike

denominators; use models

Multiplication 3.OA.1, 3.OA.3, 3.OA.5, 3.OA.8, 4.OA.1, 4.OA.2, 4.OA.3, 4.NF.3.c, 5.NF.6

Topics 4, 5, 6 two-step equation;

use symbol for unknown

Topics 1, 7, 13 use symbol for unknown; multiplicative comparison

Topic 11 fractions, mixed numbers;

use models

Division 3.OA.2, 3.OA.3, 3.OA.6, 3.OA.8, 4.OA.2, 4.OA.3, 5.NF.3, 6.NS.1

Topics 7, 8 two-step equation;

use symbol for unknown

Topics 1, 9 use symbol for unknown;

interpret remainder

Topic 11 fraction quotients;

use models

Topic 9 fractions; use models

Topic 6 fractions; use models

Quantitative relationships between variables6.EE.9, 7.RP.2, 7.RP.2.a, 8.SP.1, 8.SP.2

Topics 12, 15 dependent and

independent variables

Topic 4 dependent and

independent variables

Topic 2in proportional relationships

Topic 14in bivariate data

Exponential8.EE.2 Topic 3

square, cube roots

Apply properties1.OA.3, 1.OA.7, 2.NBT.5, 2.NBT.6, 2.NBT.7, 2.NBT.9, 3.NBT.2, 3.NBT.3, 3.OA.5, 3.OA.7, 3.OA.9, 4.NBT.5, 4.NF.3.c, 5.NBT.7, 5.MD.5.a, 6.NS.4, 6.EE.2.c, 6.EE.3, 6.EE.4, 7.NS.1.d, 7.NS.2.a, 7.EE.1, 7.EE.3, 8.EE.1

Topics 1, 2, 4, 5add, subtract; equivalence

Topics 2, 3, 6, 8, 11add, subtract;

whole numbers

Topics 2, 3, 4, 5, 7multiply, divide; whole numbers

Topic 5–8, 12add, subtract fractions;

distributive property

Topics 2, 12with decimals

Topics 2, 4 with algebraic expressions;

equivalent expressions

Topic 2with algebraic expressions;

equivalent expressions

Topics 7, 8with linear expressions,

rational numbers

Topic 3integer components

Numeric equations1.OA.1, 1.OA.2, 1.OA.8, 2.OA.1, 3.OA.3, 3.OA.4, 3.OA.8, 4.OA.2, 4.OA.3, 4.NF.4.c, 4.MD.4, 4.MD.7, 5.NF.2, 5.NF.3, 5.NF.6, 5.MD.5, 6.RP.3, 6.EE.5, 7.EE.3

Topics 1, 4, 5, 6 determine unknown

Topics 1–9 1- and 2-step equations;

add, subtract

Topics 2, 3, 5–8 determine unknown;

four operations,

Topics 1, 4–10 multi-step equations;

all operations

Topics 10, 11, 12 fractions with unlike

denominators; with volume

Topics 3, 12 use ratio reasoning,

substitution

Topics 3, 11 use ratio reasoning,

substitution

Topics 4, 5, 8 multi-step equations,

rational numbers

Algebraic equations6.EE.7, 7.EE.4.a, 8.EE.7, 8.EE.7a, 8.EE.7b Topics 4, 15

form of x + p = qTopic 3

form of x + p = qTopic 8

form of px + q = rTopic 2

linear equations

Pairs of simultaneous equations8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c Topic 6

linear equations

Numerical expressions5.OA.1, 5.OA.2, 6.EE.1, 6.EE.2.b, 7.NS.1, 7.NS.1.c

Topics 3, 8 with parentheses

or brackets

Topic 1 whole number exponents

Topic 1 whole number exponents

Algebraic expressions6.EE.2, 6.EE.2.a, 6.EE.2.b, 6.EE.2.c, 6.EE.6, 6.EE.9, 7.EE.2, 7.EE.3, 7.EE.4, 8.EE.2

Topics 2, 3, 12, 15 order of operations

Topics 1, 2, 3 order of operations

Topics 8, 9 rewrite in equivalent forms

Topic 3 integer exponents, radicals

Understand inequality6.EE.5 Topic 15

meaning of inequalityTopic 3

meaning of inequality

Write and solve inequalities6.EE.8, 7.EE.4, 7.EE.4.b Topic 15

form of x > c and x < cTopic 3

form of x > c and x < cTopic 9

px + q > r and px + q < r

Define, evaluate, and compare functions6.EE.9, 7.RP.2, 8.F.1, 8.F.2, 8.F.3

Topics 12, 15 dependent and

independent variables

Topic 4 dependent and

independent variables

Topic 2 in proportional relationships

Topics 7, 8 properties of functions

Use functions to model relationships between quantities8.EE.6, 8.F.4, 8.F.5 Topics 7, 8

linear functions

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Eval

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Ex

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CC = Counting and Cardinality; G = Geometry; EE = Expressions and Equations; MD = Measurement and Data; NBT = Number and Operations in Base Ten; NF = Number and Operations/Fractions; NS = The Number System; OA = Operations and Algebraic Thinking; RP = Ratios and Proportional Relationships; SP = Statistics and Probability

Math Concepts and SkillsSee Common Core State Standards Key at bottom of page

Page 5: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

98

Measurement and Geometry ™ Common Core

Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 6 Grade 7 Grade 8Identify and describe shapes and their attributes; compose shapesK.MD.1, K.G.1, K.G.2, K.G.3, 1.G.2, 2.G.1, 3.G.1, 4.G.1, 5.G.3, 6.G.4, 7.G.2, 7.G.3

Topics 12, 14, 15, 16 2D and 3D shapes

Topic 15 create composite 2D and

3D shapes

Topic 12 draw shapes

Topic 11 quadrilaterals

Topic 16 geometric figures (points, lines, segments, angles,

rays)

Topic 15 2D figures

Topic 18 3D shapes from nets

Topic 14 3D shapes from nets

Topic 12 2D figures in 3D shapes

Analyze shapes; classify by attrribute or propertyK.G.4, K.G.5, K.G.6, 1.G.1, 2.G.1, 3.G.1, 4.G.2, 5.G.3, 5.G.4 Topic 16

2D and 3D shapes

Topic 15 defining vs. non-defining

attributes

Topic 12 2D figures

Topic 11 hierarchy of attributes

Topic 16 2D figures

Topic 15 classify 2D figures based on hierarchy

Symmetry4.G.3 Topic 16

line symmetry

Compare measurable attributesK.MD.2, 1.MD.1, 2.MD.4 Topic 12

direct comparisonTopic 12

order objects by lengthTopic 15

measure to compare length

Measure and estimate lengths in standard units1.MD.2, 2.MD.1, 2.MD.2, 2.MD.3, 2.MD.9 Topic 12

iterate units to measure length

Topics 15, 16 use two different units

to measure length

Work with time and money1.MD.3, 2.MD.7, 2.MD.8, 3.MD.1 Topic 13

time to half hourTopics 13, 14, 16

time to five minutes, moneyTopic 12

time to minutes

Solve problems involving measurements 3.MD.2, 4.MD.2 Topic 15

liquid volumes, mass

Topics 13, 14, 15distance, liquid volumes,

mass, money

Measurement units4.MD.1, 5.MD.1, 6.RP.3.d, 7.RP.1, 8.EE.4 Topic 14

equivalence between unitsTopic 13

convert within a systemTopic 16

ratio reasoningTopic 11

ratio reasoningTopic 1

unit rates

Topic 5express in scientific

notation within a system

Angle measures4.MD.5, 4.MD.5.a, 4.MD.5.b, 4.MD.6, 4.MD.7, 5.G.3, 6.G.3, 7.G.5, 8.G.5

Topic 16 measure with proctractor,

add measures

Topic 15 in polygons

Topic 11 in polygons

Topic 10 supplementary, complementary, vertical, adjacent

Topic 11 exterior angles, transverals

Perimeter3.MD.8, 4.MD.3, 7.G.4 Topics 13, 14

polygonsTopic 15

use formula for rectanglesTopic 11

circles

Area3.MD.5, 3.MD.5.a, 3.MD.5.b, 3.MD.6, 3.MD.7, 3.MD.7.a, 3.MD.7.b, 3.MD.7.c, 3.MD.7.d, 4.MD.3, 5.NF.4.b, 6.G.1, 7.G.4, 7.G.6

Topic 14 find by counting;

relate to multiplication

Topic 15 use formula for rectangles

Topic 11 rectangle with

fractional side lengths

Topics 8, 11 triangles, quadrilaterals

Topic 13 triangles, quadrilaterals

Topic 11circles

Surface area6.G.4; 7.G.6 Topic 18

use netsTopic 14 use nets

Topic 13 cubes, right prisms

Volume5.MD.3, 5.MD.3a, 5.MD.3b, 5.MD.4, 5.MD.5, 5.MD.5a, 5.MD.5b, 5.MD.5c, 6.G.2, 7.G.6, 8.G.9

Topic 12 use cubes and formula, right rectangular prism

Topics 10, 18 right prisms with

fractional edge lengths

Topic 14 right prisms with

fractional edge lengths

Topic 13 cubes, right prisms

Topic 13 cones, cylinders, spheres

Use the coordinate plane5.OA.3, 5.G.1, 5.G.2, 6.NS.8, 6.G.3, 7.RP.2.d, 8.EE.5, 8.EE.6, 8.G.8 Topics 14, 16

graph points in Quadrant I

Topic 10 find distance

(one coordinate the same)

Topic 9 find distance

(one coordinate the same)

Topic 2 points in proportional

relationship

Topic 12 find distance between

points

Transformations: congruence and similarity7.G.1, 8.G.1, 8.G.1.a, 8.G.1.b, 8.G.1.c, 8.G.2, 8.G.3, 8.G.4 Topic 2

scale factor

Topics 9, 10 rotations, translations, reflections, dilations,

The Pythagorean Theorem8.G.6, 8.G.7, 8.G.8 Topic 12

also converse

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CC = Counting and Cardinality; G = Geometry; EE = Expressions and Equations; MD = Measurement and Data; NBT = Number and Operations in Base Ten; NF = Number and Operations/Fractions; NS = The Number System; OA = Operations and Algebraic Thinking; RP = Ratios and Proportional Relationships; SP = Statistics and Probability

Math Concepts and SkillsSee Common Core State Standards Key at bottom of page

Page 6: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

1110

™ Common Core Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 6 Grade 7 Grade 8

Organize objects in categories; count objects in categories K.MD.3, 1.MD.4 Topic 13

sort, categorize, count

Topic 14 interpret data

with 3 categories

Bar graphs 2.MD.10, 3.MD.3

Topic 16 4 categories;

single-unit scale

Topic 16 scaled graphs

Picture graphs 2.MD.10, 3.MD.3

Topic 16 4 categories;

single-unit scale

Topic 16 scaled graphs

Line plots 2.MD.9, 3.MD.4, 4.MD.4, 5.MD.2, 6.SP.4

Topic 16 4 categories;

single-unit scale

Topic 16 fractional units on scale

Topic 15 fractional

measurements

Topic 14 fractional

measurements

Topic 19 box plots, histograms,

dot plots

Topic 15 box plots, histograms,

dot plots

Understanding of statistical variability 6.SP.1 Topic 19

statistical questionsTopic 15

statistical questions

Measures of center and variability 6.SP.2, 6.SP.3 Topic 19

distribution of dataTopic 16

distribution of data

Describing data distributions 6.SP.5, 6.SP.5a, 6.SP.5b, 6.SP.5c, 6.SP.5d

Topic 19 measures of center

and variability

Topic 16 measures of center

and variability

Understanding of random sampling 7.SP.1, 7.SP.2 Topic 14

draw inferences

Compare two populations based on sampling 7.SP.3, 7.SP.4

Topic 15 compare measures of center, variability

Investigate and interpret bivariate data 8.SP.1, 8.SP.2, 8.SP.3, 8.SP.4

Topics 14, 15 scatter plots,

linear associations

Understand probability models 7.SP.5 Topic 16

theoretical probability

Predict relative frequency of an event given the probability 7.SP.6

Topic 16 experimental probability

Develop probability models 7.SP.7, 7.SP.7.a, 7.SP.7.b

Topic 16 compare model to

experimental results

Find probability of compound events 7.SP.8, 7.SP.8.a, 7.SP.8.b, 7.SP.8.c

Topic 17 tree diagrams,

organized lists, tables, simulations

Prob

abili

ty C

once

pts

Stat

isti

cal V

aria

bilit

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pres

ent

and

Inte

rpre

t D

ata

Statistics and Probability

CC = Counting and Cardinality; G = Geometry; EE = Expressions and Equations; MD = Measurement and Data; NBT = Number and Operations in Base Ten; NF = Number and Operations/Fractions; NS = The Number System; OA = Operations and Algebraic Thinking; RP = Ratios and Proportional Relationships; SP = Statistics and Probability

Math Concepts and SkillsSee Common Core State Standards Key at bottom of page

Page 7: Concepts and Skills Progression and the Common …assets.pearsonschool.com/asset_mgr/current/201151/MatBro...the Common Core State Standards for Mathematics. Each CC standard is fully

A Complete Math Solution for Grades K–12

enVisionMATH® Common Core

enVisionMATH Common Core was written for the Common Core State Standards and is organized by the Common Core Domains, so teaching is highly focused, manageable, and coherent. Based on critical foundational research and proven classroom results, enVisionMATH Common Core develops conceptual understanding through Problem-Based Interactive Learning and step-by-step Visual Learning; uses bar diagrams to help students understand number and operation meanings in problem solving; and provides solid and effective intervention that makes it easy for teachers to respond to students’ individual needs.

www.PearsonSchool.com/envisionmathcommoncore

digits™

digits, Pearson’s new Common Core middle grades math curriculum, combines any time, anywhere web-based applications with point-of-use interactive whiteboard resources to meet the needs of 21st Century learners and teachers. With digits, time spent grading or reviewing homework is freed up for focused in-class teaching. Readiness assessments and autoscored homework pinpoint students’ understanding of content so teachers can focus on individual needs during class. digits also meets today’s students where they live in the digital world. This one-of-a-kind program engages students with individualized learning paths and self-guided exploration options that make the learning of math highly visual, fun, and engaging.

www.digitsmath.com

Pearson High School Mathematics Common Core Edition

Built around the Common Core State Standards, Pearson Algebra 1, Geometry, and Algebra 2 Common Core Editions not only address the Standards for Mathematical Content but also infuses the Standards for Mathematical Practice in every lesson. This blended print and digital curriculum creates an environment where teachers can engage students, teach for understanding through Problem- Based Interactive Learning, and promote mastery with data-driven differentiated instruction. Using the latest in digital instructional technology, PowerAlgebra.com and PowerGeometry.com provide a pedagogically relevant interface to support classroom instruction.

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