Listed below, in the section for each unit, are links to learnzillion.com. These are links to short video lessons on the mathematical content stated.

# Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

# learnzillion.com

# Unit 1 Place Value and Multidigit Addition and Subtraction

## BigIdea 1: Place Value to One Million (NBT.1-3)

Model numbers using base ten blocks (NBT.1)

Understand relationships between digits and their place value (NBT.1)

Use a place value chart and arrow cards to understand large numbers (NBT.1)

Read and write numbers in expanded form (NBT.2)

Read and write numbers in numeric form (NBT.2)

Round in real-life situations (NBT.3)

Round numbers to a specific place on a number line (NBT.3)

Round numbers to the leading digit using a number line (NBT.3)

## Big Idea 2: Addition With Greater Numbers (OA.3, NBT.3-4, MD.2)

Solve multi-step word problems by organizing data (OA.3)

Interpret the remainder of a division problem (OA.3)

Round in real-life situations (NBT.3)

Round numbers to a specific place on a number line (NBT.3)

Round numbers to the leading digit using a number line (NBT.3)

Add using the standard addition algorithm (NBT.4)

Subtract using the standard subtraction algorithm (NBT.4)

Convert measurements to solve distance problems (MD.2)

## Big Idea 3: Subtraction with Greater Numbers (OA.3, NBT.3-4, MD.2)

See Big Idea 2

# Unit 2 Multiplication with Whole Numbers

## Big Idea 1: Multiplication with Tens and Hundreds (NBT.1 and NBT.5)

Model numbers using base ten blocks (NBT.1)

Understand relationships between digits and their place value (NBT.1)

Use a place value chart and arrow cards to understand large numbers (NBT.1)

Use an array to multiply a two-digit number by a one-digit number (NBT.5)

Use an area model to multiply a three-digit number by a one-digit number (NBT.5)

Use place value understanding to multiply three- and four-digit numbers (NBT.5)

Use an area model for multiplication of two-digit numbers by two-digit numbers (NBT.5)

Solve 2 by 2 digit multiplication problems: using partial products (NBT.5)

## Big Idea 2: Multiply by One-Digit Numbers (OA.3, NBT.2-5, and MD.2)

Solve multi-step word problems by organizing data (OA.3)

Interpret the remainder of a division problem (OA.3)

Read and write numbers in expanded form (NBT.2)

Read and write numbers in numeric form (NBT.2)

Round in real-life situations (NBT.3)

Round numbers to a specific place on a number line (NBT.3)

Round numbers to the leading digit using a number line (NBT.3)

Add using the standard addition algorithm (NBT.4)

Subtract using the standard subtraction algorithm (NBT.4)

Use an array to multiply a two-digit number by a one-digit number (NBT.5)

Use an area model to multiply a three-digit number by a one-digit number (NBT.5)

Use place value understanding to multiply three- and four-digit numbers (NBT.5)

Use an area model for multiplication of two-digit numbers by two-digit numbers (NBT.5)

Solve 2 by 2 digit multiplication problems: using partial products (NBT.5)

Convert measurements to solve distance problems (MD.2)

## Big Idea 3: Multiplication with Two-Digit Numbers (OA.3, NBT.2, and NBT.5)

See Big Idea 1 and 2

## Big Idea 4: Multiplication with Thousands (OA.3, NBT.2-3, NBT.5, and MD.2)

See Big Idea 1 and 2

# Unit 3 Division with Whole Numbers

## Big Idea 1: Dividing Whole Numbers (NBT.6)

## Solve division problems: using picture model (NBT.6)

Solve division problems: using arrays (NBT.6)

Divide two-digit dividends using friendly multiples (NBT.6)

Divide four-digit dividends (NBT.6)

## Big Idea 2: Division Issues and Word Problems (OA.3, NBT.3, and NBT.6)

Solve multi-step word problems by organizing data (OA.3)

Interpret the remainder of a division problem (OA.3)

Round in real-life situations (NBT.3)

Round numbers to a specific place on a number line (NBT.3)

Round numbers to the leading digit using a number line (NBT.3)

Solve division problems: using picture model (NBT.6)

Solve division problems: using arrays (NBT.6)

Divide two-digit dividends using friendly multiples (NBT.6)

Divide four-digit dividends (NBT.6)

# Unit 4 Equations and Word Problems

## Big Idea 1: Reasoning and Solving Problems (NBT.4-6 and MD.2)

Add using the standard addition algorithm (NBT.4)

Subtract using the standard subtraction algorithm (NBT.4)

Use an array to multiply a two-digit number by a one-digit number (NBT.5)

Use an area model to multiply a three-digit number by a one-digit number (NBT.5)

Use place value understanding to multiply three- and four-digit numbers (NBT.5)

Use an area model for multiplication of two-digit numbers by two-digit numbers (NBT.5)

Solve 2 by 2 digit multiplication problems: using partial products (NBT.5)

Solve division problems: using picture model (NBT.6)

Solve division problems: using arrays (NBT.6)

Divide two-digit dividends using friendly multiples (NBT.6)

Divide four-digit dividends (NBT.6)

## Big Idea 2: Comparison Word Problems (OA.1-2)

The commutative property (OA.1)

Compare numbers using bar models (OA.1)

See multiplication as a comparison using number sentences (OA.1)

Solve multiplicative comparison word problems by using bar models (OA.2)

Solve multiplicative comparison word problems by using a multiplication sentence (OA.2)

Represent unknown numbers using symbols or letters (OA.2)

Solve multiplicative comparison word problems using multiplication or division (OA.2)

## Big Idea 3: Problems with More Than One Step (OA.3)

Solve multi-step word problems by organizing data (OA.3)

Interpret the remainder of a division problem (OA.3)

## Big Idea 4: Analyzing Patterns (OA.1-5, NBT.4-6, MD.2)

See Big Idea 1 and 2

Find all the factor pairs of a number using a t-chart (OA.4)

Find all the factor pairs of a number using an area model (OA.4)

Determine if a number is prime or composite using area models (OA.4)

Understand repeating patterns (OA.5)

Find the rule for a function machine using a vertical table (OA.5)

Convert measurements to solve distance problems (MD.2)

# Unit 5 Measurement

## Big Idea 1: Converting Measurements (MD.1-2 and MD.4)

Recognize common units of measurement (MD.1)

Compare and convert customary units of length (MD.1)

Compare and convert metric units of length (MD.1)

Compare and convert customary units of weight (MD.1)

Convert measurements to solve distance problems (MD.2)

## Big Idea 2: Perimeter and Area (MD.1-3)

See Big Idea 1

Create a line plot with fractions of a unit (with like denominators) (MD.3)

Solve problems by interpreting data on a line plot (MD.3)

# Unit 6 Fraction Concepts and Operations

## Big Idea 1: Fractions with Like Denominators (NF.2-4 and MD.2)

Add fractions by joining parts (4.NF.3a)

Decompose a fraction into a sum of fractions using an area model (4.NF.3a)

Add fractions with like denominators using a number line (4.NF.3a)

Subtract fractions by separating parts (4.NF.3a)

Add fractions with like denominators using an area model (4.NF.3a)

Find a fraction: identifying the parts of a whole (4.NF.3a)

Understand that fractions are equal parts of wholes (4.NF.3a)

Identify the parts of a set to find a fraction (4.NF.3a)

Decompose fractions (4.NF.3b)

Subtract fractions with like denominators using a number line (4.NF.3b)

Subtract fractions with like denominators using an area model (4.NF.3b)

Add unit fractions to make 1 whole (4.NF.3b)

Decompose fractions: using addition (4.NF.3b)

Adding mixed numbers using properties of operations (4.NF.3c)

Subtracting mixed numbers by using properties of operations (4.NF.3c)

Adding mixed numbers by creating equivalent fractions (4.NF.3c)

Subtracting mixed numbers by creating equivalent fractions (4.NF.3c)

Subtract fractions with like denominators: labeling shapes (4.NF.3c)

Subtract fractions with like denominators: labeling sets (4.NF.3c)

Subtract fractions with like denominators starting from less than 1 whole (4.NF.3c)

Add fractions with like denominators in number sentences (4.NF.3c)

Add fractions with like denominators from two different wholes (4.NF.3c)

Add fractions with like denominators: using shapes and sets (4.NF.3d)

Add fractions with like denominators: using a number line (4.NF.3d)

Compare fractions: using pictures (4.NF.3d)

Compare fractions with the same numerator: using the greater than and less than symbols (4.NF.3d)

## Big Idea 2: Mixed Numbers with Like Denominators (NF.2-3, MD.2, and MD.4)

Write improper fractions: dividing shapes (4.NF.3)

Write improper fractions as mixed numbers (4.NF.3)

Write mixed number fractions: drawing shapes (4.NF.3)

Understand when mixed numbers and decimals are equivalent (4.NF.3)

Convert improper fractions into mixed numbers: dividing (4.NF.3)

Add fractions by joining parts (4.NF.3a)

Decompose a fraction into a sum of fractions using an area model (4.NF.3a)

Add fractions with like denominators using a number line (4.NF.3a)

Subtract fractions by separating parts (4.NF.3a)

Add fractions with like denominators using an area model (4.NF.3a)

Find a fraction: identifying the parts of a whole (4.NF.3a)

Understand that fractions are equal parts of wholes (4.NF.3a)

Identify the parts of a set to find a fraction (4.NF.3a)

Decompose fractions (4.NF.3b)

Subtract fractions with like denominators using a number line (4.NF.3b)

Subtract fractions with like denominators using an area model (4.NF.3b)

Add unit fractions to make 1 whole (4.NF.3b)

Decompose fractions: using addition (4.NF.3b)

Adding mixed numbers using properties of operations (4.NF.3c)

Subtracting mixed numbers by using properties of operations (4.NF.3c)

Adding mixed numbers by creating equivalent fractions (4.NF.3c)

Subtracting mixed numbers by creating equivalent fractions (4.NF.3c)

Subtract fractions with like denominators: labeling shapes (4.NF.3c)

Subtract fractions with like denominators: labeling sets (4.NF.3c)

Subtract fractions with like denominators starting from less than 1 whole (4.NF.3c)

Add fractions with like denominators in number sentences (4.NF.3c)

Add fractions with like denominators from two different wholes (4.NF.3c)

Add fractions with like denominators: using shapes and sets (4.NF.3d)

Add fractions with like denominators: using a number line (4.NF.3d)

Compare fractions: using pictures (4.NF.3d)

Compare fractions with the same numerator: using the greater than and less than symbols (4.NF.3d)

## Big Idea 3: Multiply fractions and Whole Numbers (NF.2-4 and MD.2)

Multiply a fraction by a whole number using visual models and repeated addition (4.NF.4a)

Multiply fractions by whole numbers: using repeated addition (4.NF.4a)

Solve word problems involving multiplying a fraction by a whole number (4.NF.4c)

Multiply fractions by whole numbers: using models (4.NF.4c)

# Unit 7 Fractions and Decimals

## Big Idea 1: Comparing Fractions (NF.2)

Create common denominators using number lines (4.NF.2)

Create common denominators using area models (4.NF.2)

Compare fractions to a benchmark of one half using number lines (4.NF.2)

Compare fractions to a benchmark of one half using area models (4.NF.2)

Compare fractions to a benchmark of one using number lines (4.NF.2)

Compare fractions with different numerators and denominators (4.NF.2)

Compare fractions to a benchmark of one using area models (4.NF.2)

Compare fractions with different numerators and denominators (4.NF.2)

Compare fractions with different denominators using number lines (4.NF.2)

Represent a fraction greater than one using area models (4.NF.2)

Compare fractions with different denominators using area models (4.NF.2)

Compare fractions with different denominators using set models (4.NF.2)

Compare fractions by creating common denominators (4.NF.2)

Compare fractions using the benchmark fraction 1/2 (4.NF.2)

Compare fractions using the benchmark of one whole (4.NF.2)

Use a number line to represent a fraction greater than one (4.NF.2)

Compare fractions to the benchmark of 3/4 (4.NF.2)

Compare fractions: using a set model (4.NF.2)

Compare fractions to the benchmark of 1/2 (4.NF.2)

Order fractions: using visual models (4.NF.2)

Order fractions: using common denominators (4.NF.2)

Compare fractions to the benchmark of 1/4 (4.NF.2)

Understand the denominator (4.NF.2)

Understand the denominator (4.NF.2)

Understand mixed and improper fractions (4.NF.2)

Compare fractions: using a number line (4.NF.2)

Create common denominators: finding the least common multiple and using equations (4.NF.2)

Identify fractions as values between 0 and 1 (4.NF.2)

Compare fractions: using an areal model (4.NF.2)

## Big Idea 2: Equivalent Fractions (NF.1-2, NF.5 and MD.4)

Recognize equivalent fractions using number lines (4.NF.1)

Generate equivalent fractions by multiplying or dividing by 1 (4.NF.1)

Generate equivalent fractions using area models (4.NF.1)

Generate equivalent fractions using number lines (4.NF.1)

Recognize equivalent fractions using area models (4.NF.1)

Create equivalent fractions using an area model (4.NF.1)

Create equivalent fractions using a number line (4.NF.1)

Make equivalent fractions: using an equation (4.NF.1)

## Big Idea 3: Understanding Decimals (NF.1-2, NF.6-7, MD.2, and MD.4)

Add tenths and hundredths by creating equivalent fractions (4.NF.5)

Add fractions with tenths and hundredths denominators (4.NF.5)

Convert fractions to decimals to the tenths place using visual aids and division (4.NF.6)

Convert fractions to decimals to the hundredths place using division (4.NF.6)

Convert decimals to fractions to the tenths place using number lines (4.NF.6)

Convert decimals to fractions to the hundredths place using visual aids (4.NF.6)

Convert fractions into decimals to the hundredths place (4.NF.6)

Convert fractions into decimals to the tenths place (4.NF.6)

# Unit 8 Geometry

## Big Idea 1: Measuring and Drawing Angles (MD.5-7 and G.1)

## Big Idea 2: Triangles and Angle Measurements (MD.6-7 and G.1-2)

## Big Idea 3: Analyzing Quadrilaterals (G.1-2)

## Big Idea 4: Analyzing Polygons (OA.5 and G.1-3