- Hazel Ave Elementary
- Unit 1 Outline

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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:**

**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:**

**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:**

**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:**

**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:**

**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.

**Lesson 1.7: U.S. Traditional Addition**

**Overview**

Students are introduced to U.S. traditional addition.

**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.

L**esson 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:**

**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.

L**esson 1.9: U.S. Traditional Subtraction**

**Overview**

Students are introduced to U.S. traditional subtraction.

**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.

L**esson 1.10: U.S. Customary Units of Length**

**Overview**

Students convert between yards, feet, and inches.

**Vocabulary:**

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.

L**esson 1.11: Points, Line Segements, Lines and Rays**

**Overview**

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

**Vocabulary:**

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.

L**esson 1.12: Angles, Triangles, and Quadrilaterals**

**Overview**

Students learn properties of angles, triangles, and quadrilaterals.

**Vocabulary: **

**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.

L**esson 1.13: Finding Perimeters of Squares and Rectangles**

**Overview**

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

**Vocabulary: **

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.