ROCKVILLE HIGH SCHOOL-DESIGNING A CURRICULUM FOR THE 10TH GRADE

Rockville High School: Designing a curriculum for the 10th grade

Rockville High School : Designing a curriculum for the 10th grade

TENTH GRADE CURRICULUM

The primary focus of Math in the Archdiocese of Kansas City in Kansas is to promote in our students their problem solving abilities, which are among God's many gifts. Each high school works with the Kansas Board of Regents as they identify course offerings at specific grades. However, by the end of their opportunity to learn, all students should show mastery of the ninth and tenth grade assessed indicators.

Standard 1: Number and Computation

The student will:

?Name, use, and describe these properties with the real number system and demonstrate their meaning including the use of concrete objects.

Commutative, associative, distributive, and substitution

Identity properties for addition and multiplication and inverse properties of addition and multiplication (additive identity: a + 0 = a, multiplicative identify: a x 1 = a, additive inverse, multiplicative inverse)

Symmetric property of equality (if a=b, then b=a)

Addition and multiplication properties of equality and inequalities.

Zero product property (if ab = 0, then a=0 and/or b=0)

?Adjust original rational number estimate of a real-world problem based on additional information (a frame of reference). E.g. estimate how long it takes to walk from here to there; time how long it takes to take five steps and adjust your estimate.

?Generate and/or solve multi-step real-world problems with real numbers and algebraic expressions using computational procedures (addition, subtraction, multiplication, division, roots, and powers excluding logarithms), and mathematical concepts with:

Applications from business, chemistry, and physics that involve computational procedures when the formulae are given as part of the problem and variables are defined (e.g. given F=ma, where F=force in newtons, m=mass in kilograms, a=acceleration in meters per second squared. Find the acceleration if a force of 20 newtons is applied to a mass of 3 kilograms.

Volume and surface area given the measurement formulas of rectangular solids and cylinders (e.g. a silo has a diameter of 8 feet and a height of 20 feet. How many cubic feet of grain can it store? Measure Noah's ark for volume and surface. Read Gen 6 for numbers)

Probabilities (e.g. If the probability of getting a defective light bulb is 2%, and you buy 150 light bulbs, how many would you expect to be defective?)

Application of percents (e.g. If $1,000 is placed in a savings account with a 6% annual interest rate and is compounded semiannually, how much money will be in the account at the end of 2 years?)

Standard 2: Algebra

The student will:

?Solve

Linear equations and inequalities both analytically and graphically.

Quadratic equations with integer solutions

Systems of linear equations with two unknowns using integer coefficients and constants

Radical equations with no more than one inverse operations around the radical expression.

?Represent and/or solve real-world problems with

Linear equations and inequalities both analytically and graphically (e.g. tickets for a school play are $5 for adults and $3 for students. You need to sell at least $65 in tickets. Give an inequality and a graph that represents this situation and three ...