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Unit Topics

Unit 1                         Numeration 1 Subsets of real numbers, rational and irrational numbers, fraction-decimal-percent, mixed numbers and improper fractions, placing values on a number line
Unit 2                    Number Theory Prime factorization and exponential form, GCF, LCM, Equivalent fractions, reducing fractions/lowest terms

Unit 3                   Number Theory 2

Order of operations, properties of math: commutative, associative, distributive, identity, zero

Unit 4               Number Operations 1

Adding/subtracting fractions and mixed numbers, multiplying and dividing fractions and mixed numbers, reciprocal
Unit 5                          Numeration 2 Rate/ratio, equivalent ratios as proportions, solving proportions, unit rate, compare unit rates, cross products, read/write percent of a number, solve simple proportion problems, solve percent by proportion, percent problems, rate, discount, tax, interest
Unit 6      Algebraic Expressions Translate verbal expressions into algebraic expressions, Use substitution to evaluate algebraic expressions using order of operations, Translate algebraic expressions and then substitute
Unit 7           Number operations 2 -Integers    Absolute value, Adding/Subtracting integers, Multiplying and dividing integers.
Unit 8         Coordinate Geometry Identify and plot points in all four quadrants

 

Unit 9     Geometric Shapes Area formulas for rectangle, triangle, and circle, Pi, Circumference, Find the radius or diameter when given circumference or area
Unit 10  Measurement                                     Converts capacities and volumes within a given system, identify customary and metric units of mass, Convert mass within a given system, Review volume, capacities and mass, determine the tool and technique to measure mass, determine personal references for customary/metric units of mass
Unit 11                               Statistics Calculate measures of central tendency, discuss misleading statistics and graphs
Unit 12   Graphic Representation Identify the relationship between relative error and magnitude when dealing with large numbers, collect data using a variety of methods, draw central angles, create a circle graph, frequency table, bar, double bar, line, double line graphs, interpret graphs, construct a venn diagram
Unit 13                        Inequalities Translate inequalities, solving one-step inequalities, graph the solutions set of an inequality on a number line
Unit 14                      Square Roots Non-perfect squares and classify as irrational or irrational, estimate and justify square roots of non-perfect squares as 2 consecutive whole numbers
Unit 15                     Numeration 3

Extra Credit Project Powerpoint - Tesselations

Positive exponents, laws of exponents, negative and zero exponents, scientific notation and standard form, compare scientific notation using inequality symbols

 

Unit 16                      Probability List possible outcomes for compound events and dependent events, counting principle and probability of compound events, interpret data to make predictions and find experimental probabilities, and determine the validity of sampling
Unit 17     More Geometric Shapes Transversals; Volume of: Cylinders, Prisms, identify prisms, cylinders, cones, and pyramids from nets, Surface Area of : prisms, cylinders, estimate surface area
Unit 18         Congruent and Similar Shapes Vocabulary, finding missing sides by proportion, Symmetry, find the equation to find the sum of the interior angles of a polygon
Unit 19           More Algebraic Expressions and Equations Add and subtract monomials, identify polynomials, solving multi-step equations, solve multi-step equations using the distributive property, solve multi-step equations with variables on both sides of the equation, mixed multi-step equation, draw a graph from a table of data, draw a table and graph from an equation, create and equations from a pattern,
Unit 20           Geometric Relationships Identify parts of a right triangle, name and classify triangles, triangle inequalities, use the Pythagorean theorem to determine whether or not a right triangle, use the Pythagorean theorem to find the missing side of a right triangle, Pythagorean theorem word problems
Unit 21                                           Measurement Calculate distance using a map scale, calculate unit rate using proportions, compare unit rates, unit rate word problems, convert currencies of different countries