GRADE 10
GOAL: The student understands and applies the concepts and procedures of mathematics.
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Essential Academic
Learning Requirements |
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Assessment Strategies |
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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.
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Suggested
Instructional Strategies / Activities |
Resources &
Materials |
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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 textInt. II text and TI-82 CalculatorInt. II text 4 index cards
& a partner. Whiteboard, paper, pencil,
calculator. |
GOAL: The student understands and procedures of mathematics.
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Essential Academic
Learning Requirements |
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Assessment Strategies |
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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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