GRADE 10

GOAL:  The student understands and applies the concepts and procedures of mathematics.

Washington State

Essential Academic Learning Requirements

Meridian School District Math Framework

Assessment Strategies

The learner will:

Understand and apply concepts and procedures from number sense

 

BENCHMARKS

 

Number and Numeration

 

Understand and use properties and symbolic representations of rational numbers

Explain the magnitude of numbers by comparing and ordering rational numbers

Understand concepts of and use processes involving prime and composite numbers, factors and multiples, and divisibility

Understand and apply the concepts of ratio and both direct and indirect proportion.

 

Computation

 

Understand operations on real numbers

Compute with rational numbers, powers, and roots

Use mental arithmetic, pencil and paper, calculator, or computer as appropriate to the task involving real numbers

 

Estimation

 

Identify situations involving whole numbers in which estimation is useful

Use estimation to predict computation results and to determine the reasonableness of answers, for example, estimating a grocery bill

 

 

To meet this standard the learner will:

1.1.6

 

Use negative, zero, and fractional exponents (2-6)

 

 

 

 

1.1.2

Find the number of ways to select some items from a group (6-5)

 

Use the multi-counting principle to find a number of possible arrangements of items (6-2)

 

1.1.4

Use quadratic formula to solve quadratic equation.

 

 

 

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GOAL:  The student understands and applies the concepts and procedures of mathematics.

Suggested Instructional Strategies / Activities

Resources &

Materials

 

2-6 Do pg. 99 “Exploration” Integrated II text.

Uses a graphing calculator to explore how a calculator treats fractional and negative exponents. Students use graphics calculators to explore negative and zero exponents and come up with definition.

 

 

 

 

6-5 Do pg. 328 “Talk it over”

As partner activity.

 

 

 

6-2 Do pg. 302 “Exploration”

Uses letters on note cards to manipulate them into all possible arrangements.

 

 

 

Negative, Zero, and Fractional exponents.

Q: 22(23)=? A:25 (ax.ay=ax+y)

Q: 25/23=? A:22(ax/ay=ax-y)

1=23/23=23-3=20

 

Similar argument for negative and fractional exponents.

Reinforce by using calculator.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

TI-82 Calculator & Int. II text

 

 

 

 

 

 

Int. II text and TI-82 Calculator

 

 

 

 

 

Int. II text 4 index cards & a partner.

 

 

Whiteboard, paper, pencil, calculator.

GOAL:  The student understands and procedures of mathematics.

Washington State

Essential Academic Learning Requirements

Meridian School District Math Framework

Assessment Strategies

The learner will:

 

Understand and apply concepts and procedures from measurement

 

BENCHMARKS

Attributes and dimensions

 

Understand how changes in dimension affect perimeter, area, and volume

Measure objects and events directly or use indirect methods such as finding the volume of a cone given its height and diameter

Calculate rate and other derived and indirect measurements

 

Approximation and precision

 

Understand that measurement is approximate

Estimate to predict and determine when measurements are reasonable, for example, estimating how much paint is needed to paint the walls of a classroom

Systems and tools

Understand the benefits of standard units of measurement and the advantages of metric systems

Select and use tools that will provide an appropriate degree of precision, for example, using kilometers vs. light years

To meet this standard the learner will:

 

1.2.2

Find the surface area and volume of spheres (2-6,2-4)

Find the distance between two points in three dimensions (10-5)

 

 

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