7R/i Classes

Rational Number Systems
 
Unit 1: RATIONAL NUMBERS/INTEGERS

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/DECIMALS
03.01 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: PROBABILITY
11.01 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 FIGURES
14.01 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
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