Rational Number Systems 01.01 Compare & order integers 01.02 Find the absolute value of a number 01.03 Identify and apply properties of addition & multiplication (including distributive) 01.04 Add & subtract integers 01.05 Multiply & divide integers 01.06 Order of operations with integers 01.07 Evaluate expressions with integers 01.08 Application/problem solving with integers
UNIT 2: RATIONAL NUMBERS/FRACTIONS 02.01 Fraction terminology (numerator, denominator, ratio), fraction as a division problem 02.02 Identify when a fraction is undefined video 02.03 Negative fractions and mixed numbers 02.04 Convert between fractions and mixed numbers (including negatives) 02.05 Writing equivalent fractions including reducing fractions to lowest terms 02.06 Add & subtract signed fractions and mixed numbers video 02.07 Multiply and divide signed fractions & mixed numbers 02.08 Evaluate expressions with fractions & mixed numbers 02.09 Application/problem solving with fractions and mixed numbers
Unit 3: RATIONAL NUMBERS/DECIMALS03.01 Relationship between fractions & decimals in our number system 03.02 Place value and placement on the number line (including negatives) 03.03 Rounding decimals 03.04 Convert between fractions and decimals 03.05 Common fractions as decimals 03.06 Add & subtract decimals including negatives 03.07 Multiply & divide decimals including negatives EXPRESSIONS, EQUATIONS, & INEQUALITIES
Unit 4: EXPRESSIONS 04.01 Define & identify variables, expressions, equations & inequalities
04.02 Translate expressions, equations & inequalities 04.03 Evaluate variable expressions (with rational numbers) 04.04 Define and identify like terms, simplify expressions by combining like terms 04.05 Simplify expressions by combining like terms using the distributive property 04.06 Algebraic Properties 04.07 Distributing/Factoring
Unit 5 - EQUATIONS
05.01 Solve and check one step equations with addition and subtraction with rationals 05.02 Solve and check one step equations with multiplication and division with rationals 05.03 Solve and check two step equations with integers 05.04 Solve and check two step equations with rationals 05.05 Equation solving review 05.06 Review combining like terms & distributive property 05.07 Solve and check multi-step equations by combining like terms 05.08 Solve and check multi-step equations by using the distributive property 05.09 Solve and check equations with variables on both sides
Unit 6: INEQUALITIES
06.01 Intro to inequalities and graphing on a number line 06.02 Working with inequalities (understand when to flip the symbol) 06.03 Solve and graph one step inequalities with addition and subtraction (with rationals) 06.04 Solve and graph one step inequalities with multiplication and division including switching the symbol 06.05 Solve and graph two step inequalities 06.06 Solve and graph multi-step inequalities
Unit 7: WORD PROBLEMS WITH EQUATIONS & INEQUALITIES
07.01 Using the algebraic process to solve word problems/one step equations 07.02 Using the algebraic process to solve word problems/two step equations 07.03 Using the algebraic process to solve word problems/one step inequalities 07.04 Using the algebraic process to solve word problems/two step inequalities
RATIO AND PROPORTIONAL RELATIONSHIPS
Unit 8: RATIO & PROPORTION
08.01 Review the definitions of ratio and rate and their 3 mathematical representations 08.02 Find unit rate and real world applications 08.03 Finding unit rate with fractional measurements 08.04 Compare unit rates example find the better buy 08.05 Examples of proportional versus non-proportional reasoning (Complete charts/tables) 08.06 Proportional versus non-proportional reasoning (with graphs) 08.07 Solve proportions algebraically 08.08 Word problems (part to whole and part, part, whole)
Unit 9: PERCENTS
09.01 Define percent, write percents as fractions and decimals including percents less than one and greater than 100 09.02 Introduction to percent proportion, solve for missing parts 09.03 Real world applications (basic word problems) 09.04 Intro to consumer terminology (sales tax, discount, commission, & gratuity) 09.05 Percent of change and percent error 09.06 Sales tax and discount 09.07 Commission and gratuity 09.08 Simple Interest
STATISTICS AND PROBABILITY
UNIT 10: STATISTICS
10.01 Intro to statistics, and measures of central tendency 10.02 Use data from a random sample to draw inferences about a population 10.03 Draw informal comparative inferences about two populations
UNIT 11: PROBABILITY11.01 Intro to probability and probability of a single event (theoretical) 11.02 Theoretical versus experimental probability (conduct an experiment) 11.03 Use a sample set to make predictions about a population 11.04 Probability of two or more events (independent & dependent) 11.05 Tree Diagrams, sample space and Counting Principle
GEOMETRY
Unit 12: USING RATIO & PROPORTION WITH GEOMETRY
12.0 What are similar figures, name corresponding parts, find missing measures 12.02 Application of similar figures, indirect measures, map scale 12.03 Solve problems involving scale drawings (using a ruler to measure) 12.04 Reproduce scale drawings using a different scale 12.05 Parts of a circle and estimate the value of Pi (string activity) 12.06 Circumference of a circle 12.07 Derive the formula for the area of a circle 12.08 Area of the circle/word problems
Unit 13: EXPLORING 2-D GEOMETRIC FIGURES
13.01 Review of protractor skills
13.02 Review of basic geometric terminology and symbols, adjacent, vertical, complementary & supplementary angles including algebraic examples 13.03 Finding missing angles in a figure (triangles) 13.04 Review of 2-D shapes and find their areas 13.05 Informal constructing of geometric shapes with given conditions,
UNIT 14: EXPLORING 3-D GEOMETRIC FIGURES14.01 Review 3-D shapes and find cross sections (right rectangular prisms, right rectangular pyramids) 14.02 Surface Area (with and without formula) (prisms and pyramids only) 14.03 Volume (prisms and pyramids only) 14.04 Real world applications with surface area and volume |