**the end**of the school year. Mastery of the concepts at the previous grade is assumed.

**Number**

- Recognize numbers from 0.001 to 1 000 000 and locate, compare, order, represent, estimate and identify numbers to 1 000 000 using regular and expanded forms
- Full understanding of place value to the right and left of 0 - 4 places
- Understanding of fractions, decimals, mixed numbers and improper fractions with a comprehension of greater than and less than concepts
- Ability to compare and order all of the above
- Understanding of ratio, rate, rounding and percentages
- Identify multiples, factors, composites and prime numbers to 100, mental division and multiplication of numbers with 0's
- Identify and use integers around them
- Perform multi-step word problems involving all of the above

**Measurement**

- Complete understanding of inches, feet, yards, miles, millimeters, centimeters, meters, kilometers and apply these terms to problem solving activities
- Use and understand all prefixes of measurement terms
- Understand and use squared units and cubed units along with linear measures
- Be able to make conversions between units - inches to feet etc.
- Select the appropriate units of measurement in problems
- Read and write dates using a variety of methods (Jan. 10, 2002, 02/10/02 etc.)
- Money amounts to $10,000.00 in making change and in problem solving
- Investigate measures of circumferences, parallelograms, rectangles, triangles and be able to sketch shapes
- Calculate the volume of prisms (rectangular) and understand the rules for calculating volumes and prisms

**Geometry**

- Hypothesize, sketch, identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures and problems
- Full understanding of geometric properties and relationships
- Classify triangles and two dimensional shapes by angle and side properties and types (obtuse, isosceles) etc.
- Identify the 2-D nets that the solids are represented by and construct the nets for a variety of polyhedra
- Measure and construct a variety of triangle and angles with the protractor, full understanding of congruence
- Explore, discover and construct tiling patterns and tesselations that cover a plane
- Understand the coordinate system on both maps and grids and in a Cartesian plan (first quadrant)
- Plot points

**Algebra/Patterning**

- Identify, create, analyze and extend patterns and describe the rules with two variables and increasing complexity
- Determine, discuss and defend the pattern rules in all problems of patterns and missing terms
- Use the estimate and test process for relationships and rules
- Determine the amount in missing values when given an equation that involve 2 operations
- Demonstrate equivalence in equations with the 4 operations

**Probability**

- Design surveys, collect the data and record it appropriate, be able to discuss the findings. Use spreadsheets!
- Construct a variety of graphs and label them appropriately and state the difference between selecting one graph over another
- Defend your choices of graphs
- Construct line and bar graphs
- Construct scatter plots and be able to discuss them
- Analyze and interpret data in a variety of graphs and more complex levels etc.
- Use tree diagrams and explain the data
- Conduct probability experiments and apply logical reasoning to the outcomes
- Examine the results of experiments involving probability
- Know that the median measures center in the sense that it is roughly the middle value.
- Understand that the mean measures center in the sense that it is the value that each data point would take on if the total of the data values were redistributed equally, and also in the sense that it is a balance point.(Common Core)

## All Grades

Pre-K | Kdg. | Gr. 1 | Gr. 2 | Gr. 3 | Gr. 4 | Gr. 5 |

Gr. 6 | Gr. 7 | Gr. 8 | Gr. 9 | Gr. 10 | Gr.11 | Gr. 12 |