# Online 6th Grade Pre-Algebra Curriculum

## Sixth-Grade Math Curriculum and Lesson Plans

In order to ensure that your child reaches their learning targets, it’s important that the 6th-grade math program you choose correlates to all state standards and provides plenty of opportunities for practice. This will help your child gain confidence as they master new math concepts.

## Explore Time4Learning

The major math strands for a sixth-grade curriculum are number sense and operations, algebra, geometry, and spatial sense, measurement, and functions, and probability. While these math strands might surprise you, they cover the basics of what a sixth grader should learn in math.

• Comparing and ordering numbers using place value chart and number lines
• Multiplying 2-digit by 2-digit numbers and 3-digit by 3-digit numbers
• Determining the greatest common factor and least common multiple
• Reading and writing numbers to the thousandths in written and standard form
• Adding mixed numbers with and without regrouping
• Measuring right, acute, obtuse, and straight angles using a protractor
• Writing and evaluating algebraic expressions

At the beginning of the school year, you should define some 6th-grade math goals and objectives for your student. Below is a general idea of the 6th-grade math objectives your child should be working towards.

• Understand pre-algebra concepts such as using variables to simplify expressions
• Identify decimal place value; compare and order decimals using a number line
• Use frequency tables and identify appropriate intervals
• Know how to use ratios and rates to compare data
• Locate and plot points on a coordinate graph using ordered pairs
• Understand the relationship between fractions, decimals, and percents

## Sixth-Grade Math Scope & Sequence

#### Lesson 1: Roman and Greek Numerals

Students will use Roman and Greek numerals.

#### Lesson 2: Generate Equivalent Forms of Whole Numbers

Students will find equivalent forms for whole numbers.

#### Lesson 3: Comparing and Ordering Whole Numbers

Students will compare and order whole numbers up to one trillion.

#### Lesson 4: Rounding Whole Numbers

Students will round whole numbers up to one trillion.

#### Lesson 5: Estimating Whole Numbers

Students will estimate whole numbers when solving problems.

#### Lesson 6: Adding and Subtracting Whole Numbers

Students will add and subtract whole numbers up to one trillion.

#### Lesson 7: Multiplying and Dividing Whole Numbers

Students will multiply and divide whole numbers up to four digits.

#### Lesson 8: Dividing Whole Numbers

Students will divide whole numbers with the dividend being no larger than five digits and the divisor being no more than three digits.

#### Lesson 9: Using the Standard Algorithm to Divide 4-Digit Dividends by 2-Digit Divisors

Students will use the standard algorithm to divide 4-digit dividends by 2-digit divisors.

#### Lesson 10: Problem Solving Strategies

Students will apply strategies in order to solve real-life problems.

#### Lesson 1: Exponents and Square Roots

Students will evaluate expressions using exponents and square roots.

#### Lesson 2: Order of Operations (GEMDAS)

Students will apply the order of operations in order to solve problems.

#### Lesson 3: Variables and Expressions

Students will use variables in order to simplify expressions.

#### Lesson 4: Properties of Addition and Multiplication

Students will apply properties of addition and multiplication when solving problems.

#### Lesson 5: Patterns and Sequences

Students will identify patterns, arithmetic and geometric sequences.

#### Lesson 6: One-Step Equations with Whole Numbers

Students will solve one-step equations using only whole numbers.

#### Lesson 7: Perimeter

Students will find the perimeter of given shapes.

#### Lesson 8: Area

Students will identify the area of a given shape.

#### Lesson 9: Problem Solving

Students will use choose the method for computation and use models and concrete objects to solve real-life problems.

#### Lesson 1: Generate Equivalent Forms of Decimals

Students will identify decimal place value and write the number in standard, written and expanded form.

#### Lesson 2: Comparing and Ordering Decimals

Students will compare and order decimals including using a number line.

#### Lesson 3: Estimating and Rounding Decimals

Students will round and estimate decimals in performing all four operations.

#### Lesson 4: Adding and Subtracting Decimals

Students will add and subtract decimals using money.

#### Lesson 5: Multiplying Decimals

Students will multiply and round decimals.

#### Lesson 6: Dividing Decimals

Students will divide by whole numbers and decimals.

#### Lesson 7: Scientific Notation

Students will compare rational numbers using scientific notation.

#### Lesson 8: One-Step Equations with Decimals

Students will solve one-step equations with decimals using addition, subtraction, multiplication and division.

#### Lesson 9: Problem Solving

Students will use the guess and check and reasonableness strategies in order to solve real-life problems.

#### Lesson 1: Introduction to Fractions

Students will identify pictorial and numerical representations of fractions and mixed numbers.

#### Lesson 2: Lowest Common Multiple

Students will find the lowest common multiple of more than two numbers.

#### Lesson 3: Least Common Denominator

Students will find the least common denominator for two or more fractions.

#### Lesson 4: Divisibility Patterns

Students will learn divisibility rules for 2, 3, 4, 5, 6, 9 and 10 for sets of numbers.

#### Lesson 5: Introduction to Prime and Composite Numbers

Students will solve problems using prime factorization.

#### Lesson 6: Factors and GCF

Students will find the factors of whole numbers by listing factors and using prime factorization.

#### Lesson 7: Simplify Fractions

Students will simplify fractions with prime factorization and greatest common factor. Students will also show division remainders as simplified fractions.

#### Lesson 8: Equivalent Fractions

Students will find equivalent fractions by finding the missing variable and applying concepts used to find equivalent fractions for improper fractions and mixed numbers.

#### Lesson 9: Fractions and Decimals

Students will find equivalent forms for decimals and fraction including repeating decimals.

#### Lesson 10: Comparing and Ordering Fractions

Students will compare and order fractions including using a number line.

#### Lesson 11: Estimating and Rounding Fractions

Students will round fractions to the nearest half number and estimate sums, differences, products and quotients.

#### Lesson 12: Add and Subtract Fractions, Like Denominators

Students will add and subtract fractions with like denominators.

#### Lesson 13: Adding Fractions with Unlike Denominators

Students will add fractions and mixed numbers with unlike denominators.

#### Lesson 14: Subtract Fractions with Unlike Denominators

Students will subtract fractions and mixed numbers with unlike denominators.

#### Lesson 15: Multiplying Fractions

Students will multiply fractions and mixed numbers.

#### Lesson 16: Dividing Fractions

Students will divide fractions and mixed numbers.

#### Lesson 17: Dividing Whole Numbers by Fractions

Students will divide whole numbers by fractions.

#### Lesson 18: Dividing Fractions by Fractions

Students will divide fractions by fractions.

#### Lesson 19: One-Step Equations with Fractions

Students will solve one-step equations using fractions and all four operations.

#### Lesson 1: Understanding Opposites

Students will identify the opposite of a number and the opposite of the opposite of a number.

#### Lesson 2: Using Positive and Negative Numbers to Represent Quantities in the Real World

Students will use positive and negative numbers to represent quantities in the real world.

#### Lesson 3: Finding Rational Numbers on a Number Line

Students will find rational numbers on a number line.

#### Lesson 1: Understanding Absolute Value

Students will work to understand absolute value.

#### Lesson 2: Comparing Absolute Values

Students will compare absolute values of rational numbers.

#### Lesson 1: Integers in the Real World

Students will use integers to describe real-life situations and show them on a number line.

#### Lesson 2: Comparing and Ordering Integers

Students will compare integers and rational numbers.

#### Lesson 3: Comparing Rational Numbers

Students will compare rational numbers that represent real-world situations.

#### Lesson 4: Adding and Subtracting Integers

Students will add and subtract using integers.

#### Lesson 5: Multiplying and Dividing Integers

Students will multiply and divide using integers.

#### Lesson 6: One-Step Equations

Students will solve one step equations with integers including fractions and decimals.

#### Lesson 7: Problem Solving

Students will use deductive or inductive reasoning, process of elimination or work backwards to solve real-life problems.

#### Lesson 1: Introduction to Graphs

Students will select appropriate representation and present data while justifying their choice.

#### Lesson 2: Frequency Tables and Line Plots

Students will use frequency tables and identify appropriate intervals.

#### Lesson 3: Pictographs and Venn Diagrams

Students will use Venn Diagrams, stem-and-leaf plots and line plots.

#### Lesson 4: Bar Graphs

Students will use bar graphs and histograms to answer questions.

#### Lesson 5: Line Graphs and Line Plots

Students will read and interpret line graphs, double line graphs and line plots.

#### Lesson 6: Double Bar Graphs and Double Line Graphs

Students will create double bar and line graphs.

#### Lesson 7: Coordinate Graphing (Quad. I)

Students will locate and plot points on a coordinate graph using ordered pairs.

#### Lesson 8: Measures of Central Tendency

Students will identify outliers, range, mean, median and mode.

#### Lesson 9: Misleading Graphs and Statistics

Students will work with fair surveys.

#### Lesson 10: Stem and Leaf Plots

Students will read and interpret stem and leaf plots.

#### Lesson 11: Box and Whisker Graphs

Students will read, interpret and create box and whisker graphs.

#### Lesson 12: Problem Solving

Students will make a table, an organized list, draw a picture or use logic to solve problems.

#### Lesson 1: Reflecting Points over Axes

Students will recognize when ordered pairs are reflected over one or both axes.

#### Lesson 2: Finding Points on a Coordinate Plane

Students will find and position pairs of rational numbers on a coordinate plane.

#### Lesson 3: Graphing Points to Solve Problems

Students will graph points to solve problems.

#### Lesson 1: Metric System

Students will identify the property tool and perform conversions using the metric system.

#### Lesson 2: Customary System

Students will use correct tools and perform conversions using the customary system of measurement.

#### Lesson 3: Measurement

Students will find the approximate measurement to the nearest unit and use reasonableness to determine the best unit for measurement.

#### Lesson 4: Time and Temperature

Students will estimate and find measures of time and elapsed time as well as customary and metric temperature.

#### Lesson 5: Area and Perimeter

Students will find area and perimeter of quadrilaterals.

#### Lesson 6: Problem Solving

Students will communicate the process for solving problems, describe the steps and solve a simpler problem in real-life problems.

#### Lesson 1: Ratios and Proportions

Students will solve proportions and ratios as decimals and percents.

#### Lesson 2: Solving Proportions and Unit Rates

Students will set up proportions and solve unit rates and problems using geometric pictures.

#### Lesson 3: Rate

Students will solve problems with rates and simple interest.

#### Lesson 4: Understanding Unit Rates

Students will understand unit rates and to use diagrams to find unit rates.

#### Lesson 5: Percents

Students will show equivalent forms of percents in fractions and decimals and solve problems that are greater than 100%.

#### Lesson 6: Circle Graphs

Students will read and interpret circle graphs and identify appropriate graphs given percent values.

#### Lesson 7: Solving Percent Problems

Students will find the percent of a number, the whole or the percent.

#### Lesson 8: Percent and Real-Life

Students will find price using sales tax and discounts.

#### Lesson 9: Problem Solving

Students will make predictions from data and solve multi-step problems.

#### Lesson 1: Using Tables of Equivalent Ratios to Solve Problems

Students will use a table of equivalent ratios to solve problems.

#### Lesson 2: Using a Table to Compare and Plot Ratios

Students will use a table to compare and plot ratios.

#### Lesson 3: Expressing Ratios and Solving for Wholes by Using Percents

Students will express ratios and solve for wholes by using percents.

#### Lesson 4: Using Ratio Reasoning to Convert Measurement Units

Students will use ratio reasoning to convert measurement units.

#### Lesson 1: Basic Geometry Definitions

Students will identify points, rays, lines, line segments and planes.

#### Lesson 2: Angles

Students will measure and classify angles, solve problems involving unknown angles, find the sum of angles in polygons and identify special angles.

#### Lesson 3: Classify Lines

Students will classify lines as parallel, perpendicular or skew.

#### Lesson 4: Classify Triangles

Students will identify similar triangles with proportions and classify by side or angle.

#### Lesson 5: Triangles

Students will find the missing measures using the Pythagorean Theorem.

#### Lesson 6: Classify Polygons

Students will identify name of shape by sides.

#### Lesson 7: 3-Dimensional Figures

Students will identify characteristics of three-dimensional figures using faces, edges and vertices and identify different views.

Students will classify quadrilaterals and find cross sections.

#### Lesson 9: Geometric Patterns

Students will find the missing term in a geometric pattern and use tessellations

#### Lesson 10: Similar, Congruent Figures, Lines of Symmetry

Students will apply concepts of congruency, similarity and symmetry.

#### Lesson 11: Transformations

Students will identify translations, rotations and reflections on a coordinate grid.

#### Lesson 12: Area

Students will estimate and find area of regular and irregular figures. Students will also compare diameter and radius.

#### Lesson 13: Finding Area by Composing and Decomposing Shapes

Students will find area by composing and decomposing shapes.

#### Lesson 14: Circumference

Students will find area and circumference of a circle.

#### Lesson 15: Proportional Change

Students will find missing sides with similar triangles.

#### Lesson 16: Surface Area

Students will find the surface area.

#### Lesson 17: Volume

Students will find volume of prisms, cubes and cylinders.

#### Lesson 18: Problem Solving

Students will use a formula to solve a problem and relate math ideas to other content areas in real-life problems.

#### Lesson 1: Identifying Parts of Algebraic Expressions

Students will identify parts of algebraic expressions.

#### Lesson 2: Writing and Evaluating Expressions

Students will write and evaluate expressions.

#### Lesson 3: Using the Distributive Property to Write Equivalent Expressions

Students will model and use the Distributive Property to write equivalent expressions.

#### Lesson 4: Identifying Equivalent Expressions

Students will identify equivalent expressions and explain why two expressions are equivalent.

#### Lesson 5: Practice Resource: Writing Algebraic Expressions With One Operation

Students will write expressions with one operation to represent real world situations.

#### Lesson 6: Writing Real-World Algebraic Expressions With Multiple Operations

Students will write expressions with more than one operation to represent real-world situations.

#### Lesson 1: Solving Real-World Equations

Students will solve real-world equations.

#### Lesson 2: Writing and Solving Real-World Equations

Students will write and solve equations to solve real-world problems.

#### Lesson 3: Writing Equations in Two Variables

Students will write equations in two variables.

#### Lesson 4: Writing Inequalities

Students will write inequalities to represent mathematical and real-world problems.

#### Lesson 5: Graphing Solutions of Inequalities

Students will represent solutions of inequalities on number lines.

#### Lesson 1: Functions

Students will identify function relationships and solve and interpret on graphs.

#### Lesson 2: Coordinate Graphing

Students will find the distance between two points and plot points on 4 quadrants.

#### Lesson 3: Problem Solving

Students will draw conclusions from data and justify why an answer is reasonable.

#### Lesson 4: Introduction to Probability

Students will determine possible outcomes and represent probability with ratios.

#### Lesson 5: Experimental and Theoretical Probability

Students will find the probability of an event.

#### Lesson 6: Compound Events

Students will compare events, compliments and list outcomes using theoretical probability.

#### Lesson 7: Dependent and Independent Events

Students will identify different between dependent and independent events.

#### Lesson 8: Combinations and Permutations

Students will find combinations and permutations.

#### Lesson 9: Problem Solving

Students will solve problems by writing and equation and simplifying algebraic expressions.

## Why Choose Time4Learning Sixth-Grade Math Homeschool Curriculum

Our 6th-grade math curriculum can be used as the main homeschool program or as a supplement to other curricula and after-school students. Thousands of families consistently trust Time4Learning to teach all the crucial concepts students must know and help them reach all their objectives for the year.

Time4Learning’s adaptable program allows students to work across grade levels. For example, if your student is “at-level” in language arts but ahead in math, they could use the sixth-grade language arts curriculum and the suggested 7th-grade math curriculum.

Alternatively, if your sixth grader attends a brick-and-mortar school or uses another homeschool program, Time4Learning’s math curriculum can be used as a supplement to get back on track. You can use the lesson plans to locate specific topics and concepts, and students are able to work at their own pace and skip around and/or repeat lessons.

PreK - 8th

\$24.95
• Monthly, first student
• (\$14.95 monthly for each additional student)

9th - 12th

\$34.95
• Monthly, per student
• (Includes 4 courses per student)

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