**Pure mathematics is, in its way, the poetry of logical ideas.**

Albert Einstein

**Grade 6 Math Unit Plans for the Year 2018-2019**

**Unit 1:**

**Operations with Whole Numbers and Decimals**

This unit reviews the concepts of place value and computation with whole numbers and decimals.

**Topics**

Place Value/Add and Subtract Whole Numbers and Decimals

Multiply Whole Numbers and Decimals

Divide Whole Numbers and Decimals

**Objectives**

To help students review place-value skills and computation with whole numbers and decimals.

To help students review multiplication of whole numbers and decimals.

To help students review and reinforce division of whole numbers and decimals, as well as work with metric measurements.

**Content**

Place Value

Compare and Order Numbers

Round Numbers

Place Value and Powers of Ten

Add and Subtract Whole Numbers and Decimals

Multiply Whole Numbers

Multiply Decimals by Whole Numbers

Multiply Decimals by Decimals

Divide Whole Numbers by One Digit Divisors

Divide Whole Numbers by Two Digit Divisors

Divide Decimals by Whole Numbers

Divide Decimals by Decimals

Mental Math with Powers of Ten

Decimals and the Metric System

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 2:**

**Fractions and Number Theory**

This unit reinforces number theory and fractions concepts and extends the relationship between fractions, mixed numbers and decimals.

**Topics**

Number Theory

Fraction Concepts

Fractions and Decimals

**Objectives**

To help students identify factors and multiples.

To help students reinforce skills in working with fractions.

To help students to extend their understanding of the relationships between fractions mixed numbers, and decimals.

**Content**

Factors and Prime Numbers

https://www.mathplayground.com/howto_primenumbers.html

Exponents

https://www.youtube.com/watch?v=WwHyPoqUQec

Prime Factorization

https://www.mathplayground.com/howto_primefactorization.html

Divisibility Rules

https://www.mathplayground.com/howto_divisibility.html

Greatest Common Factors

Least Common Multiple

https://www.mathplayground.com/howto_gcflcm.html

Write Equivalent Fractions

https://www.youtube.com/watch?v=04dKkEi3w0g

Simplest Form

https://www.mathplayground.com/howto_fractions_reduce.html

Compare and Order Fractions

https://www.mathplayground.com/howto_comparefractions.html

Fractions, Mixed Numbers, and Decimals

https://www.mathplayground.com/howto_fractions_decimals.html

Terminating and Repeating Decimals

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 3:**

**Operations With Fractions**

This unit reviews and reinforces computation with fractions and reviews customary units of measure.

**Topics**

Add and Subtract Fractions

Multiply and Divide Fractions

Fractions and Measurement

**Objectives**

To help students develop proficiency at adding and subtracting fractions

To help students develop proficiency in multiplying and dividing fractions and mixed numbers.

To help students review and apply Metric units as well as review computation with fractions when solving problems.

**Content**

Add fractions with like denominators

https://www.youtube.com/watch?v=EJjnEau6aeI

Subtract fractions with like denominators

https://www.youtube.com/watch?v=UbUdyE1_b9g

Add fractions with unlike denominators

https://www.youtube.com/watch?v=bcCLKACsYJ0

Subtract fractions with unlike denominators

https://www.youtube.com/watch?v=2DPivVFCdqA

Add mixed numbers with like denominators

https://www.youtube.com/watch?v=EGy1W24EPEI

Subtract mixed numbers with like denominators

https://www.youtube.com/watch?v=q19UnHEofOA

Add mixed numbers with unlike denominators

https://www.youtube.com/watch?v=CfBYGFm5gPA

Subtract mixed numbers with unlike denominators

https://www.youtube.com/watch?v=_btQus9HV_I

Multiply fractions

https://www.youtube.com/watch?time_continue=115&v=CTKMK1ZGLuk

Multiply mixed numbers

https://www.youtube.com/watch?v=RPhaidW0dmY

Divide Fractions

https://www.youtube.com/watch?v=tnkPY4UqJ44

Divide Mixed Numbers

https://www.youtube.com/watch?v=51-U-Jkq79A

Dividing whole numbers and fractions

https://www.youtube.com/watch?v=PQsgXNggV7Q

Find the Reciprocal of a Number

https://www.youtube.com/watch?v=6YYiiixYz9A

Metric Units of Measurement

https://www.mathplayground.com/howto_Metric.html

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 4:**

**Integers and Rational Numbers**

This unit develops computation with integers and introduces the concept of rational numbers.

**Topics**

Integer Concepts

Operations and Integers

Rational Number Concepts

**Objectives**

To help students review integers and how to compare and order them

To help students learn to compute with integers.

To help students make the transition from fractions and integers to rational numbers.

**Content**

Integers

Compare and Order Integers

Add Integers

Subtract Integers

Multiply Integers

Divide Integers

Rational Numbers

Rational Numbers and Their Properties

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 5:**

**Expressions and Equations**

This unit continues development of evaluating and writing expressions and of solving equations.

**Topics**

Evaluate Expressions

Write Expressions

Equations

**Objectives**

To help students apply various mathematical properties when evaluating numerical and algebraic expressions.

To help students make the transition from writing and evaluating expressions to using expressions to solve problems.

To help students reinforce skills in solving equations.

**Content**

Use Addition Properties to Evaluate Expression

Use Multiplication Properties to Evaluate Expression

Order of Operations

Use the Distributive Property to Evaluate Expression

Evaluate Expression with Fractions

Write Addition and Subtraction Expressions

Write Multiplication and Division Expressions

Write Expressions with Fractions

Equations with Addition and Subtraction

Equations with Multiplication and Division

Equations with Fractions

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 6:**

**Ratio, Proportion and Percent**

This unit presents the concepts of ratios, rates, proportions, and percents, and explores the relationships between fractions, decimals and percents.

**Topics**

Ratio, Rates, and Proportion

Using Ratio and Proportion

Relating Fractions, Decimals, and Percents

**Objectives**

To help students understand the concepts of Ratios, Rates, and Proportions

To help students apply the concepts of Ratios and Proportions to real world situations

To help students understand the relationships between fractions, decimals and percents

**Content**

Ratios

Rates

Equivalent Ratios

Solve Proportions

Distance, Speed, and Time

Scale Drawings

Decimals and Percents

Fractions and Percents

Fractions, Decimals, and Percents

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 7:**

**Applications of Percent**

This unit presents the applications and uses of percents in the real world.

**Topics**

The Three Cases of Percent

Content Focus

**Objectives**

To help students understand the three types of percent problems they will encounter

To help students apply their skills with percent to real-world problems

**Content**

Find a Percent of a Number

Find a Percent

Find a Number When a Percent is Known

Percent Relationships

Mental Math;

Estimate with Percents

Simple Interest

Problem-Solving Strategy: Find a Pattern

Sales Tax and Discounts

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 8:**

**Geometry of Plane Figures**

This unit reviews the geometry of plane figures.

**Topics**

The Three Cases of Percent

Content Focus

**Objectives**

To help students learn about plane figures, including pairs of angles and circles

To help students learn about polygons and congruent and similar figures

To help students explore and learn about how geometric figures can be moved to create new figures

**Content**

Plane Figures

Pairs of Angles

Measure Angles

Draw Angles

Circles and central Angles

Triangles and Angle Sums

Quadrilaterals and Angle Sums

Draw Triangles and Quadrilaterals

Congruence and Constructions

Similar Figures

Polygons

Transformations Corresponding Parts of Congruent Figures

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 9:**

**Geometry and Measurement**

This unit presents producers for finding perimeter, area, surface area, and volume.

**Topics**

Perimeter and Area of Polygons

Circumference and Area of Circles

Surface Area and Volume of Solid Figures

**Objectives**

To help students review how to find the perimeter and area of polygons

To help students review how to find the circumference of a circle and develop the formula for finding the area of a circle

To help students apply formulas for surface area and volume of solid figures

**Content**

Perimeter and Area

Area of a Parallelogram

Area of a Triangle

Circumference

Area of a circle

Solid Figures

Surface Area

Volume of Rectangular Prisms

Volume of Other Solids

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 10:**

**Data Analysis and Statistics**

This unit continues development of statistical concepts, such as measures of central tendency and different ways to display data.

**Topics**

Statistics and Graphing

Analyzing and Representing Data

**Objectives**

To help students identify the mean, median, mode, and range of a data set and interpret and make graphs and tables.

To help students analyze data by using measures of central tendency and various displays of data.

**Content**

Use Statistics

Read and Make Double Bar Graphs

Frequency Tables and Histograms

Read and Make Double Line Graphs

Choose the Most Useful Statistical Measure

Clusters, Gaps and Outliers

Stem-and-Leaf Plots

Box-and –Whisker Plots

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 11:**

**Statistics and Probability**

This unit presents the concepts of collecting and using data and of finding various types of probabilities.

**Topics**

Sampling

Bias in Statistics

Probability and Outcomes

**Objectives**

To help students recognize and use appropriate data samples to solve problems

To help students be aware that surveys and statistics can be misleading

To help students identify all possible outcomes and use that information to find probabilities

**Content**

Use Samples to Predict

Select a Sample

Misleading Statistics

Interpret Data Displays

Possible Outcomes

Theoretical Probability

Experimental Probability

Disjoint Events

Independent Events

Dependent Events

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review

**Unit 12:**

**Coordinate Graphing, Equations, and Integers**

This unit extends the concepts of the coordinate plane, graphing and solving equations, and working with integers.

**Topics**

The Coordinate Plane

Graphing Equations

Integers and Equations

**Objectives**

To help students graph ordered pairs and find distances and area on a coordinate grid

To help students learn to solve and graph equations with two variables

To help students work with expressions and equations that involve integers

**Content**

Graph points in the coordinate Plane

Geometric Figures and the Coordinate Plane

Graphs and Measurement

Functions

Graph Linear Equations

Order of Operations With Integers

Evaluate and Simplify Expressions With Integers

Write Expressions With Integers

Equations With Integers

**Assessment**

Monitoring Progress

Summative Assessment

Ongoing Review