Download Basic Math Skills WHOLE NUMBERS Understanding Whole

Basic Math Skills
WHOLE NUMBERS
Understanding Whole Numbers
Skills
WHOLE NUMBERS
Adding Whole Numbers
Skills
WHOLE NUMBERS
Subtracting Whole Numbers
Skills
• Identify whole numbers.
• Identify odd and even numbers.
• Recognize place value.
• Read and write whole numbers.
• Compare and order whole numbers.
• Round whole numbers
• Solve problems by reading a table.
• Apply whole numbers to computer memory.
• Add whole numbers.
• Add larger numbers.
• Add with regrouping.
• Estimate sums.
• Solve problems with addition.
• Apply addition to counting calories.
• Subtract whole numbers.
• Subtract larger numbers.
• Subtract with regrouping.
• Subtract from zeros.
• Solve word problems using subtraction.
• Apply subtraction to monthly expenses.
WHOLE NUMBERS
Multiplying Whole Numbers
WHOLE NUMBERS
Dividing Whole Numbers
WHOLE NUMBERS
More About Numbers
Skills
• Multiply whole numbers.
• Multiply larger numbers.
• Multiply with regrouping.
• Multiply numbers by 10, 100, 1000.
• Multiply numbers that contain zero.
• Solve word problems using multiplication.
• Solve two-part word problems.
• Apply multiplication to counting items for
Skills
• Divide whole numbers.
• Divide larger numbers.
• Divide and get remainders.
• Check division problems.
• Use estimating to choose the best answer.
• Solve word problems using division.
• Solve word problems using any operation.
• Apply division to find miles per gallon.
Skills
• Use divisibility tests.
• Find the factors of a number.
• Find the multiples of a number.
• Write prime factorizations.
• Find squares and square roots.
• Solve problems with extra information.
• Apply number sense to reading electrical
Meters.
FRACTIONS
Fractions and Mixed Numbers
FRACTIONS
Multiplying and Dividing Fractions
FRACTIONS
Adding and Subtracting Fractions
Skills
• Identify fractions and their parts.
• Recognize equivalent fractions.
• Write fractions in lowest terms and in higher
terms.
• Find common denominators.
• Compare and order fractions and other
numbers.
• Change mixed numbers and fractions.
• Solve problems using patterns.
• Apply fractions to cooking.
Skills
• Multiply fractions.
• Multiply fractions using canceling.
• Multiply fractions, whole numbers, and
mixed
numbers.
• Apply multiplying fractions to finding
gallons and
gasoline.
• Solve word problems by multiplying and
dividing
fractions.
Skills
• Add and subtract like fractions.
• Add and subtract like mixed numbers.
• Subtract mixed numbers and fractions from
whole numbers.
• Add and subtract unlike fractions.
• Add and subtract unlike mixed numbers.
• Solve multi-part fraction problems.
• Apply adding and subtracting fractions to
find
work hours.
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Decimals
Percents
Skills
Read and write decimals.
Compare and order decimals.
Add, subtract, multiply and divide decimals.
Change a decimal to a fraction.
Change a fraction to a decimal.
Round decimals.
Solve problems using decimals.
Apply knowledge of decimals to banking.
Skills
• Write percents.
• Change among percents, decimals, and
fractions.
• Find the part, the percent, and the whole in
a
problem.
• Find sales tax, discount, and commission.
• Find the percent increase or decrease and
the original number.
• Solve problems about percents.
• Apply percents to find a tip.
Ratios and Proportions
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Skills
Write ratios.
Solve proportions.
Find multiple unit prices.
Use scale drawings to find actual sizes.
Solve problems using proportions.
Apply using map scales to find distances.
MEASUREMENT AND
GEOMETRY
Graphs and Statistics
MEASUREMENT AND
GEOMETRY
Customary Measurement
MEASUREMENT AND
GEOMETRY
Metric Measurement
MEASUREMENT AND
GEOMETRY
Geometry
Skills
• Read and make pictographs, bar
graphs and line graphs.
• Read circle graphs and
histograms.
• Find the mean, median, and mode
of
a set of data.
• Find simple probability.
• Solve problems about choosing a
scale.
• Apply circle graphs to budgets.
Skills
• Change units of length,
weight,
capacity and time.
• Find elapsed time.
• Find changes in
temperature.
• Solve problems using
customary measurements.
• Apply measurement to
framing.
Skills
• Identify prefixes used in a
metric system.
• Change metric units of length,
mass, and liquid capacity.
• Compare metric and customary
units of measurements.
• Apply metric measurements to
finding the better buy.
Skills
• Recognize points and lines.
• Use a protractor and calculate
angles in a triangle.
• Identify polygons.
• Find perimeter, circumference
area, and volume.
• Solve area word problems.
• Apply angle measurement to
physical therapy.
ALGEBRA
Integers
ALGEBRA
Equations
Skills
• Identify and write integers.
• Add integers with like signs.
• Add integers with unlike signs.
• Subtract integers.
• Multiply integers.
• Divide integers.
• Solve problems using integers.
• Apply integers to wind chill temperature.
Skills
• Identify solutions to equations.
• Simplify expressions with parentheses and using the order of
operations.
• Solve equations with one operation.
• Solve equations with more than one operation.
• Solve problems using one-step equations and two-step equations
and two-step equations.
Basic High School Algebra
Simplifying and Evaluating
Expressions
Writing and Solving Linear
Equations
Skills
• Simplify expressions
• Evaluate expressions
• Solve absolute value expressions
• Identify and apply properties of
real numbers
Exponents and Polynomials
Skills
• Formulate linear equations
• Solve multi-step equations
• Use equations to solve practical
applications
Skills
• Apply rules for exponents
• Recognize and use exponents in
computations
• Define, name and solve
polynomials
Graphing and Writing Linear
Equations
Skills
• Graph and write equations from
tables of values
• Graph and write equations in
point-slope form, slope-intercept
form, and intercept method
• Write equation of a line given: 2
points, a point and a slope, or a
graph
Solving and Graphing Linear Inequalities
Data Analysis
Skills
• Define inequalities
• Solve inequalities
• Graph inequalities on number line
Skills
• Calculate the mean, median, and mode of given sets of data
• Determine probability from data
Basic High School Geometry
Lines & Angles
Skills
• Measure and classify individual
angles
• Identify angles relationships (e.g.
linear pairs, alternating interior
angles)
• Identify relationships between
two or more lines
Proportion & Similarity
Skills
• Identify equal proportions in
geometric shapes (9B)
• Construct regular geometric
shapes and demonstrate their
similarity (9B, 9C)
• Use the ratio of similarity to
form proportions (9B, 9C)
2/09
Triangles
Quadrilaterals and Polygons
Skills
• Identify types of triangles by
sides and angles
• Construct triangles based on
sides and angles
• Find the measure of angles in
triangles
• Prove triangles are congruent
• Apply congruence to find sides
and angles
Skills
• Identify and use properties of
polygons to find lengths and
angles
• Apply congruence to find sides
and angles
• Perform transformations
• Recognize tessellations
Circles
Skills
• Identify parts of the circle
• Identify segments, lines, and
angles related to the circle
• Apply properties of special
segments, lines, and angles
• Calculate the circumference and
arc length