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MATH CURRICULUM

Page history last edited by Sia Georgaklis 1 year, 6 months ago

 

Mathematics

 

 

MATHEMATICS 563-100 COURSE OUTLINE

 

 

COURSE NAME:

Grade 7 Mathematics

LEVEL:

Cycle 1, Year 1

COURSE CODE:

563-100

PERIODS PER CYCLE:

7

TEACHER(S):

E-MAIL ADDRESS:

 

Sia Georgaklis

sgeorgaklis@nfsb.qc.ca

 
             

 Subject Area Competencies:

 

1.

Solves a Situational Problem

(a complex task that involves multiple steps and may have numerous solutions)

30%

-       The student must be familiar with the steps for solving a situational problem: 

  • o   
  • o    The student represents the problem using mathematical models
  • o    The student works out a solution
  • o    The student validates the solution
  • o   

-       The student must be able to identify information from different types of representations such as graphs, tables of value, word problems etc.

-       The student must be able to represent a situational problem using a graph, table of values, equation etc.

-       The student should be able to work out a solution using appropriate methods.

-       The student should be able to check the solution to the problem and justify all steps in the procedure.

-       The student should be able to clearly explain the solution either in written form or orally.

Evaluation Activity Types in this competency:

-       All activities that involve solving a situational problems

2.

Uses  Mathematical Reasoning 

(the student applies appropriate concepts and processes from a given context) 

70%

-       The student should be able to make connections and relationships between concepts and processes.

-       The student should be able to select and evaluate the suitability of the process.

-       The student should be able to choose an appropriate representation and follow a logical sequence of steps.

Evaluation Activity Types in this competency:

-Conjectures, Validation questions, Application questions

 

 

MATHEMATICS 563-100 CURRICULUM OUTLINE

 

Textbook: Nelson Mathematics

 

The two competencies of the Math program are:

 

1. To solve a situational problem

2. To use mathematical reasoning

 

* See above for detailed description and weighting of competencies.

 

Evaluation: Students will be evaluated on standardized tests, quizzes, assignments and situational problems.

 

Homework: Following each Math period, assigned classwork is to be completed for the following Math period. Students can expect to have approximately 30 minutes of homework per Math period.

 

Topics to be Covered:

 

 

CHAPTER 1 – FACTORS AND EXPONENTS

  • Multiples, LCM

  • Factors, GCF

  •  Exponents  

  • Square roots, square numbers

  • Order of operations  

  • Prime and composite numbers

  • Rounding numbers

 

 

 

CHAPTER 6 – INTEGERS

  • Addition, subtraction, multiplication, division

  • Order of operations 

  • Cartesian plane (ordered pair)

  • Integers with exponents

 

 

 

CHAPTER 9 – FRACTIONS 

  • Equivalent fractions/ simplifying fractions

  • Value of fractions

  • Comparing fractions

  • Addition, subtraction, multiplication, division 

  • Proper and improper fractions, mixed numbers 

  • Adding & subtracting mixed numbers

  • Order of operations 

 

 

 

CHAPTER 2 – RATIO, RATE & PERCENT

  • Ratio & Rate (what they mean)

  • Percent, percent of a number

  • Discount and Sale Price

  • Changing fractions to decimals to percent 

  • Solving proportions using a variable 

 

 

 

CHAPTER 4 – PATTERNS & RELATIONSHIPS

  • Solving Proportions

  • Finding the pattern rule , Rule = 3n + 2

  • Find term value when term number is given

  • Find term number when term value is given

CHAPTER 7 – 2D GEOMETRY

  • Vocabulary and recognition of translation, rotation, reflection.

  • Naming lines, properties of intersecting lines (corresponding/alternate)

  • Parallel and perpendicular lines

  • Classifying of angles

  • Measuring angles (protractor)

  • Opposite angles, adjacent angles, supplementary angles, complementary angles

  • Finding missing angles

  • Classifying triangles, sum of angles in triangle, finding missing angle

  • Quadrilaterals, properties of diagonals of rhombus/rectangle and parallelogram/trapezoid

  • Classifying Polygons

  • Congruent & similar shapes

 

 

 

CHAPTER 5 – 2D MEASUREMENT

  • Perimeter of square, rectangle, parallelogram, triangle, trapezoid, complex shapes

  • Area of: square, rectangle, parallelogram, triangle, trapezoid, complex shapes, shaded region.

  • Height perpendicular to base

  • Formulas

  • Conversion cm to m, cm² to m²   

 

 

 

CHAPTER 3 – DATA MANAGEMENT

  • Recognition of bar graph, pictograph, broken-line graph, circle graph 

  • Interpretation of graphs 

  • Collecting, organizing, presenting data

  • Frequency table

  • Census, bias, sample, population, survey

  • Qualitative/quantitative data

  • Mean, range

 

 

 

CHAPTER 10 – 3D GEOMETRY

  • Surface area of prisms: rectangle, square, triangle & pyramids

 

 

 

 

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