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# Unit 1 Outline: Place Value, Multidigit Addition and Subtraction

Lesson 1.1: Place Value in Whole Numbers

### Overview

Students work with place value in whole numbers through hundred-thousands

Vocabulary:

digits

places

standard form

CCSS:

4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. Lesson 1.2: Place Value Concepts

### Overview

Students record numbers in expanded form and compare numbers through the hundred-thousands.

Vocabulary:

expanded form

CCSS:

4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Lesson 1.3: Rounding Numbers

### Overview

Students learn procedures for rounding numbers through hundred-thousands.

Vocabulary:

rounding

CCSS:

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

Lesson 1.4: Introduction to the Reference Book

### Overview

Students are introduced to the Student Reference Book (SRB) and continue place-value work.

Vocabulary:

millions

CCSS:

4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Lesson 1.5: Estimation Strategy

### Overview

Students explore different ways to estimate.

Vocabulary:

close-to estimation

CCSS:

4.OA.3: Solve multistep 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.

4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm. Lesson 1.6: Guide to Solving Number Stories

### Overview

Students practice solving multistep number stories involving addition and subtraction.

Vocabulary:

number model

CCSS:

4.OA.3: Solve multistep 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.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm. ### Overview

Vocabulary:

CCSS:

4.OA.3: Solve multistep 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.

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Lesson 1.8: Cracking the Muffin Code (critical thinking problem solving)

### Overview

Day 1: Students solve a problem about codes based on place-value structures.
Day 2: Students discuss some solutions and the similarities between the codes and the base-10 place-value, and then they revise their work.

Vocabulary:

pattern

CCSS:

4.OA.5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself.

4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

### Overview

Students are introduced to U.S. traditional subtraction.

Vocabulary:

counting up

regroup

CCSS:

4.OA.3: Solve multistep 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.

4.NBT.2: Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Lesson 1.10: U.S. Customary Units of Length

### Overview

Students convert between yards, feet, and inches.

Vocabulary:

measurement scale

convert

CCSS:

4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place.

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.MD.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.

Lesson 1.11: Points, Line Segements, Lines and Rays

### Overview

Students explore properties of points, line segments, lines, and rays.

Vocabulary:

point

parallel line

parallel line segement

parallel ray

CCSS:

4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. Lesson 1.12: Angles, Triangles, and Quadrilaterals

### Overview

Students learn properties of angles, triangles, and quadrilaterals.

Vocabulary:

right angle

trapezoid

polygon

CCSS:

4.G.1: Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.

Lesson 1.13: Finding Perimeters of Squares and Rectangles

### Overview

Students develop a formula for finding the perimeter of a rectangle.

Vocabulary:

length

width

CCSS:

4.NBT.4: Fluently add and subtract multi-digit whole numbers using the standard algorithm.

4.NBT.5: Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digitnumbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

4.MD.1: Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table.

4.MD.3:Apply the area and perimeter formulas for rectangles in real world and mathematical problems.

4.G.2: Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles.