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Cardinal Team I Math - 6th Grade level
Text: Middle School Math: Tools for Success, Course 1, Prentice Hall, c. 1999
The curriculum is in line with the standards established by the National Council of Teachers of Mathematics as found in Principles and Standards for School Mathematics, 2000. It also meets the criteria of the Essential Academic Learning Requirements (EALRs) of the state of Washington. This syllabus is not in the order of the 10 NCTM standards or the 5 EALRs, but in the order in which the topics are presented during the year.
- Using Statistics to Analyze Data
using and making bar and line graphs
making an elementary spreadsheet to organize data
defining and using mean, median, and mode
recognizing misleading graphs
making a table to solve a problem
- Patterns and Algebraic Thinking
evaluating numerical expressions using order of operations with and without parentheses
using variables and evaluating expressions containing variables
solving 1-step equations using addition, subtraction, multiplication, or division
looking for a pattern to solve a problem
- Adding and Subtracting Decimals
reading, writing, comparing, and ordering decimals
adding and subtracting decimals and whole numbers with uneven places
using money in decimal applications
using metric units of volume and mass
making a guess and testing it to solve a problem
- Multiplying and Dividing Whole Numbers and Decimals
estimating the product and quotient of decimals
multiplying decimals
writing large numbers in Scientific Notation
dividing decimals numbers by whole numbers and by decimal numbers
using powers of 10 to change metric measurements to other units
dealing with too little or too much information to solve a problem
- Investigating Fractions
understanding prime and composite numbers, making prime factorizations
using GCF and LCM to simplify fractions and to find common denominators
finding equivalent fractions
switching between mixed numbers and improper fractions
comparing and ordering fractions
writing decimals as simplified fractions, fractions as terminating or repeating decimal
working backwards to solve a problems
- Using Fractions
adding and subtracting fractions, mixed numbers with, without common denominators
using a geometric model to multiply fractions
multiplying and dividing fractions and mixed numbers
changing units in the U.S. Customary System
using a diagram to solve a problem
- Ratios, Proportions, and Percents
finding equal ratios and unit rates
using algebra to solve proportions
comparing scale drawings and actual measurements
defining percent as a portion of 100 and with a model
changing between fractions, decimals, and percents
estimating and finding an exact percent of a number
making circle graphs from data using percents
solving a simpler problem to solve a problem
- Tools of Geometry
naming and labeling points, lines, segments, rays, angles, and planes
using correct vocabulary to describe special angles: acute, right, obtuse, straight
defining and finding complementary and supplementary angles
labeling interior, exterior angles formed by a transversal and parallel lines
identifying triangles by types: acute, right, obtuse, equilateral, isosceles, scalene
classifying common polygons and quadrilaterals
identifying congruent and similar figures with corresponding parts
recognizing lines of symmetry in figures
learning the circle vocabulary: center, radius, diameter, circumference, central angle
exploring slides, flips, and turns for transforming geometric figures
using logical reasoning to solve a problem
- Geometry and Measurement
estimating areas with graph paper
finding perimeter and area of rectangles, triangles, parallelograms
exploring circumference and diameter to find a rough estimate of pi
using formulas to find circumference and area of circles with pi as 3.14
describing 3-dimensional figures by faces, edges, vertices
identifying basic prisms, pyramids, cylinders, cones, and spheres
calculating surface area and volume for prisms
making a model to solve a problem
- Algebra: Integers and Graphing
locating and ordering positive and negative numbers and zero
adding, subtracting, multiplying, and dividing integers
graphing linear functions on the coordinate plane
using multiple strategies to solve a problem
- Exploring Probability
using experimental probability to identify fair games
determining theoretical probability using tree diagrams and the counting principle
finding probabilities involving independent events
exploring orderings using permutations
making predictions using random sampling from a population
using a simple simulation to solve a problem
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