Algebra

• Write any form, given scientific notation or standard form for greater numbers.
• Multiply greater numbers, including decimals, using scientific notation.
• Divide greater numbers including decimals, using scientific notation.
• Define and notate function as f(n) = , and use function to complete a table.
• Evaluate and use data in a table to determine if factors are related by function.
• Evaluate and use data to write the demonstrated function.
• Write and solve equations with 1 variable, including decimals and fractions, using addition and subtraction. Write and solve equations with 1 variable, including decimals and fractions, using multiplication and division.
• Solve equations with one variable, including the collection of like terms.
• Solve equations with one variable, requiring at least 2 inverse operations.
• Evaluate expressions and solve equations by substituting a given value, including integers.
• Use order of operations to simplify an expression or solve an equation, including exponents, multiple parentheses, decimals, and fractions.
• Graph solutions and inequalities on a number line.
• Write and solve inequalities using addition and subtraction.
• Write and solve inequalities using multiplication and division.
• Multiply integers.
• Divide positive and negative integers.
• Write and use proportion to find percent of a given number, using fractions or decimals.
• Write and use proportion to find the base, given percent and partial number.
• Solve and graph equations with two variables on coordinate grid.
• Graph a system of equations.
• Graph relations and functions in coordinate plane.
• Find the length of a segment, using Pythagorean Theorem.
• Find the slope of a line, using rise and run on a graph.
• Find the greatest common factor of three numbers and the least common multiple, using exponents.
• Use a calculator to find the square root and round to the nearest tenth, hundredth.
• Solve and organize data on a table for equations with one variable.
• Solve, organize data on a table, and graph equations with one variable on a number line.
• Use calculator to simplify expressions with 1 variable, including integers, fractions, and decimals.
• Use calculator to solve and check 1- and 2-step equations with 1 or 2 variables, including all operations, integers, decimals, fractions, with special attention to order of operations.
• Identify and solve equivalent equations.
• Use properties of integers to simplify expressions and equations, including all operations.
• Read and write various forms of numbers using integers as exponents.
• Use tangent ratio to solve for the unknown side in a right triangle.
• Use calculator to find the tangent ratio.
• Identify constants and variables.

Fractions, Decimals, Ratios, and Percents

• Convert a fraction to a decimal or percent by dividing the denominator into the numerator, using a calculator. Repeating decimals are rounded.
• Write fractions and decimal numbers as a percent greater than 100%.
• Write fractions and decimals as a percent less than 1%.
• Use fractions to mentally solve problems involving percents.
• Use percents to estimate tips and sales tax.
• Identify the total cost (including sales tax, tips, etc.) using percents greater than 100%.
• Identify the percent of increase and decrease.
• Use percents to identify amount of discount and selling price and use percents to identify amount of markup and selling price.
• Use percent to determine commissions.
• Use I = prt to find simple interest paid.
• Find unit rates and unit price (cost per unit) and to compare unit prices to determine the better buy.
• Compare and order positive and negative decimals, using a number line or other models.
• Compare and order fractions and repeating decimals (>, <, =).
• Compare and order positive and negative fractions, using a number line or other models.
• Estimate products using fractions x whole numbers.
• Compare and order positive and negative mixed numbers, using a number line or other models.
• Determine compound interest.
• Solve percent problems using ratios and decimals.
• Define and plot real, irrational, and rational numbers on a number line.
• Determine if the square root of a number is rational or irrational.
• Compare and order rational numbers, using a number line, changing forms (ex. decimals compared to fractions) and the density property.
• Solve addition and subtraction problems of rational numbers, using a number line.
• Solve multiplication and division problems of rational numbers.

Geometry

• Recognize the use of compass and straight edge to construct angle and line segment bisectors.
• Identify vertical angles, adjacent angles, and corresponding angles in intersecting, perpendicular, and parallel lines.
• Recognize the use of a compass and straight edge to construct perpendicular and parallel lines.
• Identify corresponding sides and angles in congruent and similar geometric shapes.
• Identify corresponding points, segments, and angles in transformations.
• Identify the properties of tessellations (e.g. geometric figures used and transformations used to make tesselations).
• Use Venn diagrams to compare the properties of geometric figures.
• Use the Pythagorean Theorem by using grid paper.
• Find the square root of numbers and identify perfect squares, using a table and a calculator.
• Identify the properties of a central angle and inscribed angle of a circle or sphere.
• Identify congruent triangles, using ASA, SSS, and SAS.
• Use proportion to find missing measure in similar triangles.
• Use the Pythagorean Theorem to identify right triangles, using the formula.
• Find the length of a missing side (Pythagorean Theorem) using the formula.
• Use sine, cosine, and tangent to determine the relationships between sides and angles of right triangles.
• Recognize the use of compass and straight edge to construct congruent triangles.

Measurement

• Find the volume of prisms and pyramids using a formula.
• Find the volume of cylinders and cones using a formula.
• Find surface area of prisms and square pyramids using a formula.
• Find surface area of a cylinder using a formula.
• Find the area of a trapezoid using a formula.
• Use the distance formula (d = r x t) to solve word problems.
• Divide customary units of length then simplify and rename.
• Understand unusual customary measures: rod, furlong, troy ounce, carat, fathom, pace, cubit, stone, grain, gill, peck, and span.
• Divide customary units of liquid capacity then simplify and rename.
• Divide customary units of weight then simplify and rename.
• Find the circumference given the diameter or radius (including fractions and decimal numbers).
• Find the surface area of a cone, using a formula.
• Find the area of the shaded parts of geometric figures (triangles, rectangles, parallelograms, and trapezoids) using the appropriate formulas.
• Find the area of composite geometric figures.
• Identify the Greatest Possible Error (GPE) of a linear measurement.
• Use the volume and liquid capacity to find mass of a liquid (to include 4 word problems in the questions that are reflective of this skill.
• Convert customary units of measure (linear, liquid, and weight) from one unit to another, using fractional parts.
• Find equivalent measures (linear, liquid, weight) using ratios.

Number Concepts

• Mentally add decimal numbers, using commutative, associative, compensation properties.
• Add 8-digit whole numbers with up to and including 3 addends, using a calculator.
• Add decimal numbers with up to and in including 3 whole numbers and decimal places to the thousandths, with up to and including 5 addends.
• Divide decimal numbers (up to and including 4 digits with decimal places to the thousandths divided by whole number divisors up to and including 3 digits).
• Divide decimal by decimals up to and including hundred thousandths divided by ten-thousandths divisor, using a calculator. Repeating decimal quotients need to be rounded to up to and including nearest thousandths.
• Estimate sums of decimal numbers + decimal numbers, using rounding and front-end estimation-decimal numbers up to 3 digit whole numbers and up to thousandths.
• Estimate decimal number differences, using rounding and front-end estimation (decimal numbers up to 3-digit whole numbers and up to thousandths).
• Mentally multiply using properties of multiplication up to and including 3 whole number factors to hundreds.
• Mentally multiply decimal numbers using the properties of multiplication (decimal numbers up to and including 2 digits with decimal places to the hundredths).
• Mentally multiply decimal numbers using powers of 10 (decimal numbers up to and including 2 digits with decimal places to the hundredths).
• Multiply whole numbers x whole numbers, whole numbers x decimals numbers, and decimal numbers x decimal numbers, using a calculator.
• Identify arithmetic and geometric sequences, to include defining sequence and term and identifying the rule applying to the sequences.
• Find the sums of sequences, using the pair method.
• Read and write decimal numbers to the millionths, using words, standard form, short word names, and expanded form (whole numbers up to and including millions with decimal part up to and including millionths-e.g. 3,097,023.036541).
• Round decimal numbers to the nearest tenth, hundredth, thousandth, ten thousandth, or whole number (whole number to thousands and decimal part to ten thousandths - e.g. 5,176.157 is rounded to 5,000).
• Mentally subtract decimal numbers using equal additions.
• Subtract up to and including 7-digit whole numbers minus 6-digit whole numbers, using the calculator.
• Subtract decimal numbers up to and including 3-digit whole numbers and decimal places to the thousandths.
• Estimate quotients using decimal numbers.
• Find the GCF, using prime factorization of each number in exponential form.
• Find the sequence given the rule, and write the rule given the sequence, including Pascal's Triangle, etc.
• Identify Fibonacci sequences.

Statistics and Probability

• Interpret line plots.
• Interpret stem-leaf plot.
• Interpret box and whisker plots.
• Use Venn diagrams to categorize information.
• Count outcomes using permutations, using tree diagrams (define factorial notation).
• Identify arrangements as permutations or combinations.
• Use multiplication principle to find probability of 2 independent events that are occurring at the same time. Understand and find experimental probability using random numbers.
• Find the mean, median, mode, and range of whole numbers resulting in decimal quotients and of decimal numbers.
• Understand and interpret frequency distribution using decimal numbers and fractions.
• Interpret data on a line plot.
• Interpret data on a stem-leaf and double stem-leaf plot.
• Interpret data on box and whisker plots.
• Understand and interpret scattergrams.
• Understand and interpret histograms.
• Draw inferences using interpolation and extrapolation.
• Understand and find the probability of mutually exclusive events.
• Count outcomes using permutations with a formula to represent number of arrangements.
• Count outcomes using combinations with a formula to represent number of combinations.
• Use data to persuade.