Unit I: Rational Numbers Preview work: Exponents, prime factorization, divisibility A. Compare and order rational numbers - on a number line and in lists by writing equivalent fractions and simplifying fractions B. Fluently and accurately add, subtract, multiply and divide rational numbers C. Solve single- and multi-step word problems involving rational numbers and verify the solutions D. Write an equation that corresponds to a given problem situation , and describe a problem situation that corresponds to a given equation.
Students should continue working on solving equations. See online help below. Also consider using Khan Academy.
Unit II: Integers A Integers and Absolute Value B. Comparing and Ordering Integers C. Adding and Subtracting Integers D. Multiplying and Dividing Integers E. Real-life Problem Solving with Integers Unit III Review of operations and properties of addition and multiplication - commutative, associative and distributive properties for mental math and fluent calculation with decimals and fractions.
Common Core 7.G.4 Know the formulas for the area and circumference of circles and use them to solve problems. Be able to give an informal derivation of the relationship between area and circumference of a circle. WA State 6.2.D Apply the commutative, associative, and distributive properties and use the order of operations to evaluate mathematical expressions. (this in preparation for Algebra we will do this year)
Unit III: Algebra - Solving One and Two-Step Equations Solving Equations - online help Solving Two-Step Equations - Brainpops Video A Writing variable expressions/Interpreting variable expressions B. Solving one-step equations - undoing addition, subtraction, multiplication and division C. Solving two-step equations - isolating the variable by applying the order of operations in reverse. D. Converting word problems and real life situations to equations E. Interpreting word problems and solving as equations
Unit IV: Proportional Relationships A. Mentally add, subtract and divide simple fractions, decimals, and percents. B. Solve single- and multi-step problems involving proportional relationships and verify the solutions. C. Describe proportional relationships in similar figures and solve problems involving similar figures. D. Make scale drawings and solve problems related to scale. E. Represent proportional relationships using graphs, tables, and equations, and make connections among the representations. F. Determine whether or not a relationship is proportional and explain your reasoning.
Unit V: Basic Geometry A. Identify and apply appropriate calculations to find complementary angles, supplementary angles, angles of any triangle, right triangles, isosceles triangles, equilateral triangles, and right isosceles triangles. B. Identify and apply formulae for perimeter and area of parallelograms, triangles, trapezoids, and circles. C. Apply the Pythagorean formula to finding the measure of a missing leg or hypotenuse for a right triangle, given the measure of 2 sides. D. Apply the Pythagorean formula to determine if a triangle is a right
Unit VI: Surface Area and Volume A. Develop, explain, and apply the formulas for finding surface area of cylinders, rectangular prisms, pyramids and cones. B. Develop, explain, and apply the formulas for finding the volume of cylinders, cones and pyramids. C. Describe the effect that a change in scale factor or one dimension of a three-dimensional figure, has on other attributes of the figure - such as the side or the edge length, the perimeter, area or volume of the figure. D. Solve single or multi-step word problems involving surface area or volume, and be able to verify the solutions.
Unit VII: Data and Probability A. Represent the sample space of probability experiments in multiple ways, including tree diagrams and organized lists. B. Determine the theoretical probability of a particular event and use theoretical probability to predict experimental outcomes. C. Describe a data set using measures of center (mean, median, and mode) and variability (maximum, minimum, and range) and evaluate the suitability and limitations of using each measure for different situations. D. Construct and interpret histograms, stem-and-leaf plots and circle graphs. E. Evaluate different displays of the same data for effectiveness and bias, and explain reasoning.
Unit VIII: Statistics This unit meets the sixth grade standards for Data and Statistics and covers the following: A. What is a statistical question? B. A set of data gathered for a statistical question has a center, spread, and shape. Data sets can be analyzed according to these qualities. C. Making box plots, line plots, frequency tables and histograms D. Identifying Mean, Median, Range, Interquartile Range, and Mean absolute deviation for a given set of data