Overview of Telluride Math Curriculum

In each grade there will be 3-4 Power Standards, which are standards that must be mastered by the end of the school year. These are the standards that are pre-requisites for the next year and the progression toward the goal of Algebra I for all 8th graders.

Each grade level is linked to the Common Core Standards and each Power Standard is linked to the appropriate standard in the Common Core Standards.

Kindergarten

1st Grade

2nd Grade

3rd Grade

The Number System

• Fluency with all operations up to 100 (including 1-10 times tables)
• Representation of operations as word problems and vice-versa

Place Value

• Understand numbers up to 1 million on a number line
• Proportional thinking (100 is 10 times bigger than 10)
• Order proper fractions on a number line

Fractions

• Understand what fractions mean (notation, division, whole numbers can be fractions)
• Compare fractions with same numerator or same denominator
• Equivalent fractions (1/2 is the same as 2/4 and 3/6)

4th Grade

Measurement

• Ruler, protractor
• Basic area & perimeter of rectangles
• Time--analog clock, time elapsed, time as a fraction
• Units (King Henry Dashed Merrily Down Central Mountain--and relate that to fractions)
• Zero Rule / Power of 10

Geometry

• 3 types of Triangles
• Types of Angles
• Identify parallel, perpendicular, and introduce positive and negative slopes
• Points, lines, rays, symmetry

Fractions

• Fractions as a rate of change and illustrating a unit rate as a fraction
• Fractions as data tables
• Fractions as graphs
  

5th Grade

Number System

• Powers of 10
• Comparing Decimals <>= and not equal
• Round to any decimal place
• Operations with Decimals
• Order of Operations

Geometry

• Graph points in a coordinate plane
• 2 dimensional figures
  
• Volume prisms
• Unit cubes
  

Fractions

• Same as 4th grade fractions (rate of change, etc.), but now translating between fractions, decimals and percents in tables, graphs and word problems.
• Add, subtract, multiply, divide with fractions
  

6th Grade

The Number System

• Integers and operations with Integers
• LCM and GCF
• Rational #s
• Inequalities
• Absolute Value
• Coordinate Systems (Independent and Dependent Variables)

Expressions & Equations

• Read and write expressions / equations with integers and variables
• Number Properties (Distributive, Associative, Commutative, Identity)
• Writing and Solving One Variable Equations & Inequalities
  

Ratio & Proportions

• Unit Rate
• Rule of Four: All proportional relationships can be represented as an expression, graph, word problem and table and students should be able to translate between any two.

Stat & Probability

• Measures of Center (Mean, Median and Mode)
• Box Plots
• Scatter Plots
  

7th Grade (Algebra I Part A)

Proportions

• Writing and solving, including percent increase and decrease.
• Proportions as Direct Variation, including data tables, graphs and y = mx
• Connection between unit rate and proportions and y = mx and the slope
  

8th Grade