Online 6th Grade Pre-Algebra Curriculum
Sixth-Grade Math Curriculum and Lesson Plans
Teaching 6th-grade math will require a comprehensive math curriculum at your fingertips to help you teach your child effectively while making learning math fun.
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.
What Math Should a 6th Grader Already Know?
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.
Students in 6th grade should already master math facts to help them understand more advanced math concepts. Some of the skills your child should already know going into sixth grade include:
- 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
If your student needs to review 5th-grade math concepts, you can easily access those lessons thanks to our flexible grade-level options that give you access to one level above and one below your child’s default grade.
Sixth-Grade Math Objectives
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
Students will use Roman and Greek numerals.
Students will find equivalent forms for whole numbers.
Students will compare and order whole numbers up to one trillion.
Students will round whole numbers up to one trillion.
Students will estimate whole numbers when solving problems.
Students will add and subtract whole numbers up to one trillion.
Students will multiply and divide whole numbers up to four digits.
Students will divide whole numbers with the dividend being no larger than five digits and the divisor being no more than three digits.
Students will use the standard algorithm to divide 4-digit dividends by 2-digit divisors.
Students will apply strategies in order to solve real-life problems.
Students will evaluate expressions using exponents and square roots.
Students will apply the order of operations in order to solve problems.
Students will use variables in order to simplify expressions.
Students will apply properties of addition and multiplication when solving problems.
Students will identify patterns, arithmetic and geometric sequences.
Students will solve one-step equations using only whole numbers.
Students will find the perimeter of given shapes.
Students will identify the area of a given shape.
Students will use choose the method for computation and use models and concrete objects to solve real-life problems.
Students will identify decimal place value and write the number in standard, written and expanded form.
Students will compare and order decimals including using a number line.
Students will round and estimate decimals in performing all four operations.
Students will add and subtract decimals using money.
Students will multiply and round decimals.
Students will divide by whole numbers and decimals.
Students will compare rational numbers using scientific notation.
Students will solve one-step equations with decimals using addition, subtraction, multiplication and division.
Students will use the guess and check and reasonableness strategies in order to solve real-life problems.
Students will identify pictorial and numerical representations of fractions and mixed numbers.
Students will find the lowest common multiple of more than two numbers.
Students will find the least common denominator for two or more fractions.
Students will learn divisibility rules for 2, 3, 4, 5, 6, 9 and 10 for sets of numbers.
Students will solve problems using prime factorization.
Students will find the factors of whole numbers by listing factors and using prime factorization.
Students will simplify fractions with prime factorization and greatest common factor. Students will also show division remainders as simplified 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.
Students will find equivalent forms for decimals and fraction including repeating decimals.
Students will compare and order fractions including using a number line.
Students will round fractions to the nearest half number and estimate sums, differences, products and quotients.
Students will add and subtract fractions with like denominators.
Students will add fractions and mixed numbers with unlike denominators.
Students will subtract fractions and mixed numbers with unlike denominators.
Students will multiply fractions and mixed numbers.
Students will divide fractions and mixed numbers.
Students will divide whole numbers by fractions.
Students will divide fractions by fractions.
Students will solve one-step equations using fractions and all four operations.
Students will identify the opposite of a number and the opposite of the opposite of a number.
Students will use positive and negative numbers to represent quantities in the real world.
Students will find rational numbers on a number line.
Students will work to understand absolute value.
Students will compare absolute values of rational numbers.
Students will use integers to describe real-life situations and show them on a number line.
Students will compare integers and rational numbers.
Students will compare rational numbers that represent real-world situations.
Students will add and subtract using integers.
Students will multiply and divide using integers.
Students will solve one step equations with integers including fractions and decimals.
Students will use deductive or inductive reasoning, process of elimination or work backwards to solve real-life problems.
Students will select appropriate representation and present data while justifying their choice.
Students will use frequency tables and identify appropriate intervals.
Students will use Venn Diagrams, stem-and-leaf plots and line plots.
Students will use bar graphs and histograms to answer questions.
Students will read and interpret line graphs, double line graphs and line plots.
Students will create double bar and line graphs.
Students will locate and plot points on a coordinate graph using ordered pairs.
Students will identify outliers, range, mean, median and mode.
Students will work with fair surveys.
Students will read and interpret stem and leaf plots.
Students will read, interpret and create box and whisker graphs.
Students will make a table, an organized list, draw a picture or use logic to solve problems.
Students will recognize when ordered pairs are reflected over one or both axes.
Students will find and position pairs of rational numbers on a coordinate plane.
Students will graph points to solve problems.
Students will identify the property tool and perform conversions using the metric system.
Students will use correct tools and perform conversions using the customary system of measurement.
Students will find the approximate measurement to the nearest unit and use reasonableness to determine the best unit for measurement.
Students will estimate and find measures of time and elapsed time as well as customary and metric temperature.
Students will find area and perimeter of quadrilaterals.
Students will communicate the process for solving problems, describe the steps and solve a simpler problem in real-life problems.
Students will solve proportions and ratios as decimals and percents.
Students will set up proportions and solve unit rates and problems using geometric pictures.
Students will solve problems with rates and simple interest.
Students will understand unit rates and to use diagrams to find unit rates.
Students will show equivalent forms of percents in fractions and decimals and solve problems that are greater than 100%.
Students will read and interpret circle graphs and identify appropriate graphs given percent values.
Students will find the percent of a number, the whole or the percent.
Students will find price using sales tax and discounts.
Students will make predictions from data and solve multi-step problems.
Students will use a table of equivalent ratios to solve problems.
Students will use a table to compare and plot ratios.
Students will express ratios and solve for wholes by using percents.
Students will use ratio reasoning to convert measurement units.
Students will identify points, rays, lines, line segments and planes.
Students will measure and classify angles, solve problems involving unknown angles, find the sum of angles in polygons and identify special angles.
Students will classify lines as parallel, perpendicular or skew.
Students will identify similar triangles with proportions and classify by side or angle.
Students will find the missing measures using the Pythagorean Theorem.
Students will identify name of shape by sides.
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.
Students will find the missing term in a geometric pattern and use tessellations
Students will apply concepts of congruency, similarity and symmetry.
Students will identify translations, rotations and reflections on a coordinate grid.
Students will estimate and find area of regular and irregular figures. Students will also compare diameter and radius.
Students will find area by composing and decomposing shapes.
Students will find area and circumference of a circle.
Students will find missing sides with similar triangles.
Students will find the surface area.
Students will find volume of prisms, cubes and cylinders.
Students will use a formula to solve a problem and relate math ideas to other content areas in real-life problems.
Students will identify parts of algebraic expressions.
Students will write and evaluate expressions.
Students will model and use the Distributive Property to write equivalent expressions.
Students will identify equivalent expressions and explain why two expressions are equivalent.
Students will write expressions with one operation to represent real world situations.
Students will write expressions with more than one operation to represent real-world situations.
Students will solve real-world equations.
Students will write and solve equations to solve real-world problems.
Students will write equations in two variables.
Students will write inequalities to represent mathematical and real-world problems.
Students will represent solutions of inequalities on number lines.
Students will identify function relationships and solve and interpret on graphs.
Students will find the distance between two points and plot points on 4 quadrants.
Students will draw conclusions from data and justify why an answer is reasonable.
Students will determine possible outcomes and represent probability with ratios.
Students will find the probability of an event.
Students will compare events, compliments and list outcomes using theoretical probability.
Students will identify different between dependent and independent events.
Students will find combinations and permutations.
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.