Course: 7th Grade Math

Course Description

7th grade math focuses on proportions, probability and percents as well as an introduction to Algebra I concepts. Problem-solving and critical thinking skills are an integral part of the material as well and are built in to lessons across concepts.

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Curriculum

8 lessons Working with Percents
- Lessons
- Finding the Percent of Number
  Students will be able to use a proportion to find the percent of a number.
- Using the Percent Proportion
  We will be able to solve problems using the percent proportion.
- Use mental math to compute with percents
  We will be able to determine the percent of a number using the 10% rule.
- Estimating with percents
  We will be able to use estimation to help us mentally compute with percents.
- Percent of Change
  Students will be able to find the percent increase and decrease of a number.
- Calculating sales tax and discount
  We will be able to calculate the sales tax and/or discount for a purchase.
- Simple Interest
  Students will be able to compute simple interest.
- Compound Interest
  Students will be able to define compound interest. Students will be able to describe the difference between compound interest and simple interest.
15 lessons Solving 1 variable equations
In this unit, 7th graders learn how to isolate and solve for a variable using addition, subtraction, multiplication, division, distribution, and combining like terms. Integer operations are reinforced throughout the unit.
- Lessons
- Essential Vocabulary
  We will be able to identify and define ten words essential to solving equations.
- Adding and subtracting integers
  We will be able to add and subtract integers.
- Multiplying and dividing integers
  We will be able to multiply and divide integers.
- Solve one-step equations
  We will be able to solve one-step equations.
- Solve two-step equations
  We will be able to solve two-step equations.
- Solve equations with variables on both sides
  We will be able to solve equations with variables on both sides.
- Combine like terms
  We will be able to combine like terms in expressions.
- Solve equations using combining like terms
  We will be able to solve equations by combining like terms.
- Distributing through an expression
  We will be able to use distribution to simplify an expression.
- Solve equations using distributing through an expression
  We will be able to solve equations using distribution.
- Solve equations by distributing a negative through an expression
  We will be able to solve equations using distribution of a negative number.
- Solve equations using distribution and combining like terms
  We will be able to solve equations using distribution and combining liek terms.
- Solve two-step equations using multiplication
  We will solve equations with fractions.
- Solving equations with no solution
  We will determine when an equation has no solution.
- Solving equations with infinite solutions
  We will be able to identify equations with infinite solutions.
10 lessons Probability
In this unit students work with simple and compound probabilities as well as using the fundamental counting principle, permutations, and combinations.
- Lessons
- Simple Probability
  We will be able to find the probability of a simple event.
- Determining Sample Spaces
  We will be able to determine sample spaces and probability.
- The Fundamental Counting Principle
  We will use the Fundamental Counting Principle to determine total number of outcomes.
- Permutations
  We will be able to determine the permutations for a set of objects and determine probabilities.
- Combinations
  We will be able to determine combinations and probabilities.
- Theoretical and Experimental Probability
  We will be able to find and compare theoretical and experimental probability.
- Independent Events
  We will be able to determine compound probabilities using independent events.
- Dependent Events
  We will be able to determine compound probabilities with dependent events.
- Disjoint Events
  We will be able to determine the probability of disjoint events.
- FCP, Permutation, or Combination?
  We will be able to determine if a problem is solved using a permutation, combination, or the Fundamental Counting Principle.
10 lessons Ratios and Proportions
In this unit students will work with rates and using proportions to solve a variety of problems
- Lessons
- Understanding Ratios
  We will be able to write fractions as ratios in simplest form. We will be able to determine equivalent ratios.
- Understanding Rates
  We will be able to determine unit rates.
- What is a proportion?
  We will be able to complete proportions using cross multiplication.
- Using proportions to convert customary units
  We will be able to convert customary units of measurement.
- Using proportions to convert fractions and percents
  We will use proportions to convert between percents and fractions.
- Scale drawings
  We will be able to determine scale and actual distances
- Similiar Figures
  We will be able to determine whether figures are similar or congruent. We will be able to find a missing length or angle in a pair of similar figures.
- Rate of Change and Slope
  We will be able to calculate rate of change and slope.
- Scale Factor
  We will be able to determine scale factor.
- Converting Metric Units
  We will be able to convert metric units of measurement.
11 lessons Number Sense
In this unit, 7th grade students work with rational numbers as well as identify when numbers are irrational. Students also compute with exponents, work with the order of operations, and prime factorization.
- Lessons
- Powers and Exponents
  We will be able to compute using powers and exponents.
- Squares and Square Roots
  We will be able to solve for the square root of a number. We will be able to square numbers.
- Order of Operations
  We will be able to simplify problems using the order of operations
- Negative Exponents
  We will be able to compute using negative exponents.
- Prime Factorization
  We will be able to determine the prime factorization of a composite number.
- Greatest Common Factor
  We will be able to solve for the greatest common factor for a group of terms.
- Least Common Multiple
  We will be able to apply the least common multiple to problem solving.
- Fractions and Percents
  We will be able to convert fractions and percents.
- Fractions and Decimals
  We will be able to convert fractions and decimals.
- Decimals and Percents
  We will be able to convert decimals and percents.
- Sequences
  We will be able to describe and extend the terms in arithmetic and geometric sequences.
15 lessons Geometry
In this unit, students will explore two and three dimensional shapes. They will work on concepts such as area, volume, surface area, and transformations.
- Lessons
- Angle Relationships
  We will be able to classify and identify vertical and adjacent angles. We will be able to identify complementary and supplementary angles and find missing angle measures.
- Triangles and Quadrilaterals
  We will be able to identify and classify triangles and quadrilaterals.
- Area of Parallelograms
  We will be able to solve for the area of a parallelogram.
- Area of Triangles and Trapezoids
  We will be able to solve for the area of triangles and trapezoids.
- Circles
  We will be able to find the measure of the circumference of a circle.
- Area of a Circle
  We will be able to calculate the area of a circle.
- Three-dimensional Figures
  We will be able to identify, describe, and draw three-dimensional figures.
- Volume of Prisms
  We will be able to compute the volume of prisms.
- Volume of Cylinders
  We will be able to calculate the volume of a cylinder.
- Surface Area of Rectangular Prisms
  We will be able to calculate the surface area of a rectangular prism.
- Surface Area of Cylinders
  We will be able to calculate the surface area of cylinders.
- Translations
  We will be able to graph a translation of a of polygons on coordinate planes.
- Reflections
  We will be able to identify figures with line symmetry and graph reflections on a coordinate plane.
- Pythagorean Theorem
  We will be able to solve for the hypotenuse of a right triangle using the Pythagorean Theorem.
- Applications of the Pythagorean Theorem
  We will be able to apply the Pythagorean Theorem to problem-solving situations.
10 lessons Linear Equations
In this unit students work with equations that have two variables. Graphing lines in standard and slope-intercept form as well as writing the equation of the line from various pieces of information are covered.
- Lessons
- Graphing lines using tables
  We will be able to graph linear equations using a table.
- Graphing lines using intercepts
  We will be able to graph lines using intercepts.
- Graphing lines using slope-intercept form
  We will be able to graph lines using slope-intercept form.
- Finding the slope of a line
  We will be able to calculate the slope of a line.
- Writing linear equations in slope-intercept form (from a graph)
  We will be able to write equations in slope-intercept form from a graph.
- Write linear equations given the slope and a point
  We will be able to write linear equations given the slope and a point.
- Write linear equations given a parallel line and point
  We will be able to write the equation of a line given a parallel line and a point.
- Write linear equations given a perpendicular line and a point
  We will be able to write the equation of a perpendicular line given an equation and a point.
- Write linear equations given two points
  We will be able to write the equation of a line given two points.
- Graphing linear inequalities
  We will be able to graph linear inequalities.
11 lessons Graphs and Statistics
This unit covers measures of central tendency and graphing. It includes bar graphs, histograms, stem-and-leaf plots, line plots, and line graphs.
- Lessons
- Measures of Central Tendency
  We will be able to describe a set of data using mean, median, mode, and range.
- Applying Measures of Central Tendency
  We will be able to apply measures of central tendency.
- Line Plots
  We will be able to display and analyze data using a line plot
- Stem-and-Leaf Plots
  We will be able to display and organize data using stem-and-leaf plots.
- Circle Graphs
  We will be able to display and interpret data in circle graphs.
- Bar Graphs and Histograms
  We will be able to display and analyze data using bar graphs and histograms.
- Line Graphs
  We will be able to read and analyze line graphs.
- Using Data to Predict
  We will be able to use the data of a small group to predict the actions of a larger group.
- Using Sampling to Predict
  We will be able to predict the actions of a larger group by looking at a smaller group
- Venn Diagrams
  We will be able to read and analyze Venn Diagrams.
- Using graphs to predict
  We will be able to use line graphs and scatter plots to make predictions.
9 lessons Computation
In this unit, students will review and master adding, subtracting, multiplying, and dividing with fractions and decimals.
- Lessons
- Adding and Subtracing Fractions and mixed numbers
  We will be able to add and subtract fractions.
- Multiplying fractions and mixed numbers
  We will be able to multiply fractions and mixed numbers.
- Dividing with fractions and mixed numbers
  We will be able to divide mixed numbers.
- Adding and Subtracting Decimals
  We will be able to add and subtract decimal numbers.
- Multiplying decimals
  We will be able to multiply decimal numbers.
- Dividing a decimal by a whole number
  We will be able to divide a decimal number by a whole number.
- Dividing a decimal by a decimal
  We will be able to divide a decimal number by a decimal number.
- Estimating with Fractions
  We will be able to estimate sums, differences, products and quotients of mixed numbers.
- Evaluating Expressions
  We will be able to evaluate expressions.
9 lessons Solving Inequalties
In this unit, students solve and graph simple, compound, and absolute value inequalties. They also learn the real world applications for inequalities.
- Lessons
- Solving inequalities using addition and subtraction
  We will be able to solve inequalities using addition and subtraction.
- Solving inequalities using multiplication and division
  We will be able to solve inequalities using multiplication and division.
- Solving multi-step inequalities
  We will be able to solve and graph multi-step inequalities.
- Solving inequalities by multiplying or dividing by a negative
  We will be able to solve inequalities by multiplying or dividing by a negative number.
- Graph compound inequalities
  We will be able to graph compound inequalities.
- Solve "and" inequalities
  We will be able to solve and graph compound inequalities.
- Solve "or" compound inequalities
  We will be able to solve and graph compound inequalities.
- Solve absolute value inequalties
  We will be able to solve and graph absolute value inequalities.
- Solve multi-step absolute value inequalties
  We will be able to solve and graph absolute value inequalities.
12 lessons Systems of Equations
In this unit students will learn to solve systems of equations using graphing, substitution, and elimination. They will learn how to use each method in the context of problem solving situations.
- Lessons
- Solving Linear Systems Using Graphing
  We will be able to solve linear systems using graphing.
- Solve Linear Systems Using Substitution, Part 1
  We will be able to solve linear systems using substitution.
- Solve Linear Systems Using Substitution, Part 2
  We will be able to solve systems of equations using substitution.
- Solve Linear Systems Using Substitution, Part 3
  We will be able to solve systems of linear equations using substitution.
- Solve Linear Systems Using Elimination, Part 1
  We will be able to solve linear systems using elimination.
- Solve Linear Systems Using Elimination, Part 2
  We will be able to solve linear systems using addition or subtraction.
- Solve Linear Systems Using Elimination, Part 3
  We will be able to solve linear systems using elimination.
- Solve Linear Systems Using Elimination, Part 4
  We will be able to solve linear systems using elimination.
- Solve Linear Systems with No Solution or Infinite Solutions
  We will be able to solve special types of linear equations.
- Solve Sytems of Linear Inequalities
  We will be able to graph systems of linear inequalities.
- Linear Systems Word Problems, Part 1
  We will be able to write and solve linear systems.
- Linear Systems Word Problems, Part 2
  We will be able to write and solve linear systems.