•Maintain skills in basic addition, subtraction, multiplication, and division of whole numbers

•Use calculators with proficiency for appropriate problems

•Develop skills in adding, subtracting, multiplying, dividing fractions

•Develop skills in adding, subtracting, multiplying and dividing decimal numbers

•Develop skills in percents and relating percents to fractions and decimals

•Introduce ratio and proportion

•Introduce scientific notation

•Introduce vocabulary of exponents e.g. base, exponents

•Maintain skills in basic addition, subtraction, multiplication, and division of whole numbers

•Use calculators effectively for appropriate problems

•Refine skills in adding, subtracting, multiplying and dividing fractions

•Refine skills in adding, subtracting, multiplying and dividing decimals

•Refine use of percents and relating percents to fractions and decimals

•Develop skills in understanding ratio and proportion

•Develop use of scientific notation

•Develop an understanding of the use of exponents

•Learn about positive and negative numbers

•Maintain skills in basic addition, subtraction, multiplication, and division of whole numbers

•Use calculators effectively for appropriate problems

•Add, subtract, multiply and divide fractions

•Add, subtract, multiply and divide decimal numbers

•Interpret percent as a part of 100

•Use common percents

•Understand the relationships among commonly used percents, fractions, and decimals

•Refine and use ratio and proportion

•Show a sense of the role of scientific notation

•Apply and appropriately use exponents

•Add, subtract, multiply and divide positive and negative numbers

•Introduce and use special number relationships e.g. 2/5 is a reciprocal of 5/2

•Develop understanding of square roots

•Appropriately use:

     Multiples of whole number (1-10)        Factors of whole numbers

•Increase understanding of fraction relationships

•Develop an understanding of commutative, associative, distributive and identity properties

•Maintain use of whole number place value

•Develop an understanding decimal place value to thousandths

•Expand understanding and use of special numbers (primes, composites, common divisors and multiples)

•Understand fraction relationships: comparisons, equivalence, reducing, relating mixed numbers and improper fractions

•Refine an understanding of commutative, associative, distributive and identity properties

•Develop an understanding of irrational numbers through use of Pi

•Maintain use of whole number place value

•Continue to develop decimal place value to 1000th

•Understand and use special numbers (primes, composite, square, cubic numbers, common divisors and multiples)

•Understand the relationships between and interchange commonly used fractions and decimals

•Compare quantities by using simple fractions, decimals, and whole numbers

•Apply commutative, associative, distributive and identity properties

•Understand irrational numbers

•Use concepts of negative number properties

•Understand circle relationships (diameter, radius)

•Recognize shapes that are congruent (same size and shape)

•Develop an understanding of symmetry, reflections and of figure

•Continue using standard tools of measurement, estimating first

•Model situations geometrically

•Do scale and perspective drawing

•Use the concept of parallel, perpendicular and right angles

•Develop skills in measuring and drawing angles

•Continue to use coordinate graphing with positive numbers

•Understand circle relationships (diameter, radius, circumference)

•Demonstrate an understanding of congruency

•Refine an understanding of symmetry, and reflections, of figures

•Draw constructions (equal line segments, perpendiculars bisectors

•Review coordinate graphing with positive numbers

•Continue using tools of measurement

•Model situations geometrically to formulate and solve problems

•Use scale drawing

•Refine use of the concept of parallel, perpendicular and right angles

•Refine skills in measuring and drawing angles

•Apply circle relationships (diameter, radius, circumference, area)

•Compare similar and congruent shapes

•Apply symmetry and reflections of figures

•Use coordinate graphing (positive and negative numbers)

•Use appropriate tools to measure

•Compare the relationships between and among measures of length, area, and volume using units

•Model situation geometrically to formulate and solve problems

•Use proportion to interpret maps and make scale drawings

•Use parallel, perpendicular and right angle concepts in context

•Construct angles using appropriate materials and tools

•Represent relationships with tables, graphs

•Generate a wide variety of patterns mathematically

•Represent relationships with tables, graphs and rules

•Generate and extend a wide variety of patterns mathematically

•Represent relationship with tables, graphs and rules

•Generate, extend, analyze, and generalize a wide variety of patterns mathematically

•Use and describe variables in simple functions both linear and exponential

•Recognize and describe a variety of  arithmetic and geometric patterns using concrete, pictorial, numeric, algebraic models

•Find solutions to equations with unknown quantities

•Perform a variety of probability experiments

•Represent probability as a fraction of the total possibilities

•Collect and organize data

•Display data in graphic form (bar, picture, circle, line, etc.)

•Begin an understanding of statistical ideas such as mean, median, and mode

•Perform and report on a variety of experiments

•Represent and determine probability as a

•Begin to make conclusions based on data they have collected or given set of data

•Develop an understanding of statistical ideas such as mean, median, and mode

•Display data in graphic form (bar, picture, circle, line, etc.)

•Make predictions based on experimental or theoretical possibilities

•Represent and determine probability as a fraction of the total possibilities

•Begin to make conclusions and recommendations based on data they have collected or a given set of data

•Display data in graphic form (bar, picture, circle, line, etc.)

•Use the concept of statistical ideas such as mean, median, mode

•Interpret data in regard to its quantity and quality

•Create and interpret statistical tables, charts, and graphs

•Make sensible, reasonable estimations using strategies and prior knowledge in varied situations

•Recognize when an estimate is more appropriate than an exact answer

•Apply a variety of estimation strategies when working with computation and problem solving

•Compare estimations to actual results

•Make sensible, reasonable estimations using strategies and prior knowledge in varied situations

•Recognize when to use an estimate

•Apply a variety of estimation strategies when working with computation and problem solving

•Compare estimations to actual results

•Make sensible, reasonable estimations using strategies and prior knowledge in varied situations

•Recognize when to use an estimate

•Apply a variety of estimation strategies when working with computation and problem solving

•Compare estimation to actual results

•Determine what the question, assignment or problem is asking them to do

• Create and solve word problems in all of the concept areas

•Develop a variety of problem solving strategies to solve problems

•Work in groups to solve problems

•Determine how to break down a problem into simpler parts

•Develop communication skills in problem solving (written, oral, visual)

•Determine what the question, assignment, or problem is asking them to do

•Develop mathematical vocabulary

•Create, analyze and solve work problems in all of the concept areas

•Use a variety of problem solving strategies to solve problems with multiple steps

•Work in groups to solve problems

•Determine how to break down a complex problem into simpler parts

•Integrate concepts and techniques from different areas of mathematics

•Refine communication skills in problem solving (written, oral, visual)

•Determine what the question, assignment, or problem is asking them to do

•Develop mathematical vocabulary

•Formulate and solve a variety of meaningful problems in all concept areas

•Create and use a variety of approaches and understand and evaluate approaches that others use

•Work in groups to solve complex problems

•Interpret data for quantity and quality

•Extract pertinent information from situations

•Formulate conjectures and support them

•Generalize solutions and strategies

•Communicate in problem solving (written, oral, visual)