Math Curriculum Goals

Students will:

• Relate mathematical vocabulary, and the symbolism of operations, to problem solving.
• Apply computation skills using rational numbers with reasonable proficiency.
• Apply logical reasoning skills and strategies to justify solutions to a wide variety of problems.
• Relate math to the use of physical material and real life situations.
• Develop and apply estimation strategies in working with quantities, measurement, computation, and problem solving.
• Use instruments, tools, and formulas.
• Apply the attributes of length, capacity, weight, mass, area, volume, time, temperature, and angle, and develop the process of measuring them.
• Use algebraic methods to solve problems.
• Develop number sense for fractions, mixed numbers, and decimals, and apply them to problem situations.
• Formulate and solve problems that involve collecting and analyzing data.

Kindergarten Math Curriculum

Goals:

Students will:

1. Identify and write numbers to 31.
2. Use symbols (+, -, =).
3. Add facts through sums of 10.
4. Subtract facts through differences of 10.
5. Use manipulatives.
6. Estimate length of objects.
7. Estimate quantities of whole numbers listed below.
8. Identify and draw plane shapes listed below.
9. Determine symmetry.
10. Identify solid shapes.
11. Interpret bar graphs with one variable.
12. Use nonstandard units to determine length.
13. Compare area and volume.
14. Name and order the days of the week.
15. Order numbers to fifty.
16. Tell time to the nearest hour.
17. Recognize whole numbers to thirty.
18. Identify one more or one less than.
19. Order whole numbers on a number line.
20. Sort objects by size and color.
21. Analyze graphs to interpret data.
22. Learn to use given information to solve problems with strategies listed below.

Content

1. Whole numbers up to thirty-one
2. Addition and subtraction with sums and differences through 19
3. Algebra, functions, and relations, sets and symbols in number sentences
4. Geometry (circle, square, rectangle, triangle, sphere, cube, cone)
5. Measurement with non standard units (paper clips, cubes)
6. Money – pennies, nickels, dimes
7. Time to the hour on an analog and digital clock
8. Problem solving with strategies – choosing operations, patterns, graphs
9. Bar graph data

1st Grade Math Curriculum

Goals:

Students will:

1. Supply missing numbers.
2. Add and subtract facts through twenty.
3. Estimate using 10’s.
4. Round to the nearest ten.
5. Identify solid and plane shapes listed below.
6. Identify properties of solid shapes.
7. Chart bar graph data with one attribute.
8. Measure using standard and metric units.
9. Name and order the months of the year.
10. Order and compare numbers to ninety-nine.
11. Write time in two ways.
12. Tell time to the nearest half hour.
13. Use symbols to compare whole numbers listed below.
14. Apply the value of coins.
15. Count change by counting on.
16. Add and subtract money to fifty cents.
17. Find weight using metric and standard units.
18. Find whole numbers before, after, and between on a number line.
19. Count by 2’s, 5’s, and 10’s up to one hundred.
20. Write and solve addition and subtraction number sentences using whole numbers.
21. Use data from pictures, tables, and charts to solve word problems.

Content:

1. Whole numbers up to one hundred
2. Even and odd numbers
3. Addition and subtraction with sums and differences up to 20
4. Math symbols < and >
5. Plane figures up to four sides
6. Inch, centimeter, pound, kilogram, cup, pint, quart, gallon)
7. Time to the hour and half hour
8. Money (quarter)
9. Cylinder, pyramid, and rectangular prism
10. Faces, edges, and vertices
11. Bar graphs, tables and charts with one attribute

2nd Grade Math Curriculum

Goals:

Students will:

1. Skip count by hundreds and use place value to hundreds.
2. Calculate sums and differences up to thousands.
3. Know and calculate multiplication and division facts to five.
4. Write number sentences.
5. Apply figure and number patterns to group multiplication and division.
6. Apply problem-solving strategies.
7. Decide if too much or too little information is given.
8. Identify congruent and symmetric figures and find perimeter of simple figures up to 50 units.
9. Round numbers and estimate sums and differences to hundreds.
10. Collect and organize data on a line graph and tally chart.
11. Find perimeter and area using square units.
12. Determine the order of numbers to 1,000.
13. Tell time to the nearest quarter and five minutes and determine elapsed time to the nearest hour.
14. Find equivalent units of time down to seconds in a minute.
15. Apply the value of money.
16. Make change and subtract money.
17. Measure and estimate weights.

Content

1. Whole numbers up to hundreds and multiplication and division facts up to five
2. Addition and subtraction up to two digit numbers
3. Multiplication of two digit by one digit numbers and division with a two digit
4. Dividend and a one digit divisor
5. Problem solving guess and check strategy
6. Numbers rounded to hundreds, sums and differences to the nearest dollar
7. Geometric figures- congruent and symmetric
8. Line graphs with data
9. Time down to 5 minutes
10. Money amounts up to $1.00
11. Multi-step problem solving
12. Rounding to nearest hundred

3rd Grade Math Curriculum

Goals:

Students will:

1. Calculate sums and differences up to the thousands.
2. Multiply and divide facts up to 10.
3. Identify and classify quadrilaterals (parallelogram, rectangle, square).
4. Identify angles (right, greater and less than right).
5. Find area of over 50 cubic units and find perimeter.
6. Identify the properties of geometric figures.
7. Determine lines of symmetry.
8. Identify line, ray, line segments.
9. Compare similar figures.
10. Read bar and pictographs (up to 5 variables).
11. Make a pictograph and a bar graph.
12. Measure using standard and metric units.
13. Apply length of a mile and capacity of gallons.
14. Use a conversion table from pounds to ounces.
15. Tell time to the nearest minute and minutes before and after the hour.
16. Make change by counting up to $10.00, and subtract money amounts.
17. Estimate decimals and money amounts as listed below.
18. Skip count by 3’s and 4’s, and fill in incomplete patterns.
19. Use models to compare decimals and fractions and order them from greatest to least.
20. Apply strategies to solve problems using the skills listed below.
21. Round to the nearest ten thousands.

Content

1. Addition and subtraction up to four digit numbers
2. Multiplication of three digit by one digit and division of three digit numbers by
3. One digit numbers with remainders
4. Equilateral, isosceles, and right triangles, volume and perimeter
5. Pictographs and bar graphs
6. Measurement to the nearest ½ inch, foot, and yard
7. Time to the nearest minute
8. Money and change to the nearest ten dollars
9. Nearest ten cents, dollar, ten-thousandths
10. Convert pounds to ounces
11. Compare and order decimals and fractions
12. Nearest ten
13. Word problems choosing operations
14. Problem-solving strategies and graphs with two variables

4th Grade Math Curriculum

Goals:

Students will:

1. Calculate sums, differences, products, and quotients of the types listed below, with accuracy.
2. Solve problems involving fractions, mixed numbers, and decimals of the types listed below.
3. Estimate sums, differences, products, and quotients of the types listed below.
4. Use problem solving strategies of the types listed below.
5. Apply algebraic concepts of the types listed below.
6. Identify and classify plane and space figures, angles, and the characteristics of solid figures.
7. Read and interpret data in charts and graphs.
8. Convert and apply customary and metric units of measurement of the types listed below.

Content

1. Addition and subtraction of five digit numbers, subtraction across zeros, negative numbers, decimals to hundredths, place value to millions
2. Multiplication of three digits by one and two digit number with regrouping, division with a two digit divisor, division by multiples of ten, average of a group of numbers, operations required for multi-step problems, basic facts and patterns of zeros in multiplication
3. Mixed numbers with like denominators, mixed numbers converted to improper fractions, decimals and mixed numbers ordered, simplest form of a fraction
4. Estimates of whole numbers to hundred thousands, money amounts to the nearest ten dollars, products to thousands, quotients with a single digit divisor, decimals to the nearest tenth and whole number
5. Draw and use diagrams, make a list, work backward, use logical thinking, interpret remainders, decide on an exact amount or an estimate
6. Variables in equations, algebraic expressions, and function tables
7. Quadrilaterals (rhombus, trapezoid), space figures (cylinder, triangular prism, pyramid), acute and obtuse angles
8. Problem solving using double bar, line graphs, and circle graphs
9. Measurements to the nearest ¼ inch, metric units of capacity (L, ml), mass (gr, kg), length (dm, m, km), perimeter (m, km)
10. Customary units of capacity (cup, pint, quart, gallon)
11. Area of squares and rectangles
12. Elapsed time using graphs and problem solving strategies
13. Change up to $30.00

5th Grade Math Curriculum

Goals:

Students will:

1. Use place value using the skills listed below.
2. Find GCF (greatest common factor) and LCM (least common multiple) of two factors.
3. Use exponents to write numbers in standard and expanded form.
4. Find prime factorization of a number using a factor tree.
5. Compare, add, and subtract integers.
6. Add and subtract fractions and mixed numbers with unlike denominators, and decimals to thousandths.
7. Multiply using exponents, decimals, fractions, and mixed numbers.
8. Divide a five digit number by a two digit number, as well as dividing with powers of ten, decimals, fractions, and mixed numbers.
9. Use the order of operations.
10. Write an equation to solve a problem.
11. Find mean, median, and mode in a set of data.
12. Name and measure angles using a compass and a protractor.
13. Identify, draw, and classify angles.
14. Identify parts of a circle.
15. Use formulas to find volume, area, and circumference.

Content

1. Place value from thousandths through hundred billionth, rounding, estimating
2. GCF (greatest common factor), LCM (least common multiple), exponents, standard and expanded form, integers (add, subtract, compare), prime factorization
3. Add, subtract, multiply, and divide decimals, fractions and mixed numbers (with unlike denominators)
4. Division using powers of ten
5. Divide a five digit number by a two digit number
6. Order of operations
7. Mean, median, and mode
8. Identify, draw, and classify angles
9. Radius, diameter, and circumference of a circle
10. Volume formulas for a cube, rectangular prism, and triangular prism
11. Area formulas for a triangle and parallelogram
12. Circumference of a circle

6th Grade Math Curriculum

Goals:

Students will:

1. Apply place value using the skills below.
2. Estimate decimal sums, differences, products, and quotients.
3. Compare and convert mixed numbers, fractions, decimals, and percents.
4. Convert with the metric system using decimals.
5. Identify repeating and terminating decimals.
6. Find a number given a percent, and a percent given a number.
7. Determine the amount of sales tax to be added.
8. Calculate interest.
9. Order rational numbers.
10. Use scientific notation.
11. Multiply and divide integers.
12. Simplify using cross multiplication.
13. Convert customary units of measurement.
14. Identify adjacent, corresponding, supplementary, and complementary angles.
15. Construct a line segment, quadrilateral, triangle, and pentagon.

Content

1. Place value from thousandths through millionths
2. Mixed numbers, fractions, decimals, and percents (compare and convert)
3. Metric system (conversion)
4. Sales tax, interest, percentage off
5. Rational numbers, scientific notation
6. Cross multiplication
7. Customary units of measurement (conversion)
8. Adjacent, corresponding, supplementary, and complementary angles
9. Line segments, quadrilaterals, triangles, and pentagons
10. Volume formulas for a cone, cylinder, and pyramid
11. Area formulas for a rectangular prism, triangular prism, and a pyramid

7th Grade Math Curriculum

Goals

Students will:

1. Estimate decimal and fraction sums, differences, products, and quotients.
2. Compare and order integers and rational numbers
3. Find a number given a percent, and a percent given a number.
4. Use scientific notation.
5. Add, subtract, multiply and divide integers.
6. Convert customary units of measurement.
7. Use order of operations with the distributive property
8. Write variable expressions.
9. Simplify variable expression.
10. Identify parts of a variable expression.
11. Solve one and two-step equations using addition, subtraction, multiplication and division.
12. Write and graph inequalities.
13. Solve one and two-step inequalities using addition, subtraction, multiplication and division.
14. Identify appropriate metric measures.
15. Use proportions to solve problems.
16. Identify part of a whole using ratio and percent.
17. Find percent of increase and decrease.
18. Use similar figures and scale drawings.

Content

1. Mixed numbers, fractions, decimals, and percents (compare and convert)
   
2. Metric system (conversion)
   
3. Rational numbers
   
4. Scientific notation
   
5. Customary units of measurement (conversion)
   
6. Variables and expressions
   
7. Integers
   
8. Rational numbers
   
9. Equations and inequalities
   
10. Measurement using formulas and the metric system
11. Rations, proportions and percent
    
12. Comparing and measuring geometrical figures

Pre-Algebra Curriculum

Goals:

Students will:

1. Write variable expressions.
2. Use grouping symbols in the order of operations.
3. Simplify variable expression.
4. Identify parts of a variable expression.
5. Multiply and divide powers with the same base.
6. Find absolute value.
7. Identify and graph rational numbers.
8. Classify types of equations.
9. Solve one and two-step equations using addition, subtraction, multiplication and division.
10. Use the distributive property to solve equations.
11. Write and graph inequalities.
12. Solve one and two-step inequalities using addition, subtraction, multiplication and division.
13. Substitute into formulas to find perimeter and area.
14. Identify appropriate metric measures.
15. Solve proportions.
16. Use proportions to solve problems.
17. Identify part of a whole using ratio and percent.
18. Find percent of increase, decrease, markups, discounts and percent of change.
19. Identify and graph relations and functions.
20. Graph equations with two variables.
21. Find and graph the slope of a line.
22. Graph linear inequalities.
23. Generate and graph a table of values from a function.
24. Use similar figures and scale drawings.
25. Write rules for patterns.
26. Solve word problems by graphing, using formulas, and making a model.

Content

1. Variables and expressions
2. Integers
3. Rational numbers
4. Equations and inequalities
5. Measurement using formulas and the metric system
6. Rations, proportions and percent
7. Functions and graphs
8. Comparing and measuring geometrical figures
9. Problem solving using patterns, graphs, formulas and models

Algebra Curriculum

Goals:

Students will:

1. Divide expressions containing exponents.
2. Evaluate and simplify expressions with zero and negative exponents.
3. Solve equations with variables on both sides.
4. Solve absolute value equations.
5. Solve equations with no solution and infinite solutions.
6. Write equations for word problems.
7. Solve linear equations and inequalities by graphing, substitution and elimination.
8. Write systems of equations.
9. Graph systems of linear inequalities.
10. Solve and graph compound inequalities.
11. Find a line given point and slope.
12. Find x and y-intercept.
13. Write an equation of a line in y-mx + b and Ax + By = C form.
14. Write equations for parallel and perpendicular lines.
15. Solve and graph quadratic equations.
16. Solve quadratic equations using the quadratic formula.
17. Find length of sides of a right triangle.
18. Define polynomials.
19. Add, subtract, multiply, and divide monomials and polynomials.
20. Multiply binomials and trinomials.
21. Write a function rule.
22. Identify the three views of a function and the families of functions.
23. Relate graphs to events.
24. Link graphs to tables.
25. Discuss and apply personal financial planning

Content

1. Equations and inequalities
2. Systems of equations and inequalities
3. Linear functions
4. Quadratic functions
5. Right triangles and radical expressions
6. Polynomials
7. Junior Acheivement Finance Park experience