MYP Year 5 Integrated Math - Le Jardin Academy

MYP Year 5
Integrated Math
Ms. Donna Isaacks
Room 405
donna.isaacks@lejardinacademy.org
(808) 261-0707 x2060
The curriculum of the Integrated Math 5 focuses on a mixture of algebra, geometry, statistics and
probability, and discrete mathematics topics. During the course of the year, we will study algebraic
functions (linear, quadratic, exponential, and logarithmic functions), circle and three-dimensional
geometry, probability, statistics, consumer math, matrices, sets and Venn diagrams, tree diagrams,
and networks. The course will stress the essential role of mathematics within the school and in
society: mathematics as a universal language, promoting analytical reasoning and problem-solving
skills that contribute to the development of logical, abstract, and critical thinking. This course will
help students view mathematics as a language of modeling and solving problems that arise in the
real world.
2011 – 2012 Scope and Sequence: August- June
All Unit Dates are projected and may be subject to change.
You will be sent an updated January-June Scope and Sequence in January.
Unit 1: Amazing Matrices
Unit Dates: Mid-Aug– Mid-Sept
Unit Question: What makes data useful?
Area of Interaction: Approaches to Learning
Content:
-operations with matrices
-solving systems of equations
-geometric transformations
-networks
Summative Assessment Tasks
• Unit Test (Criteria A, C)
• Amazing Matrices Unit Portfolio containing demonstrations of the use of matrices to solve
four real world problems (Criteria A, D)
Unit 2: Let’s Play Ball
Unit Dates: Mid-Sept – End-Oct
Unit Question: How can I improve my athletic performance?
Area of Interaction: Health and Social
Content:
-solving quadratic equations by graphing, factoring, completing the square, and the
quadratic formula
-graphing the quadratic family of functions
-modeling data with quadratic functions
Summative Assessment Tasks
• Unit Test (Criterion A)
• Unit Investigation – The Quadratic Equation in Standard Form (Criterion B)
• Let’s Play Ball Unit Project using Logger Pro and the internet to analyze parabolic curves
involved in sport games (Criteria A, C)
Unit 3: Track the Trends, Predict the Future? Unit Dates: End-Oct– Mid-Nov
Unit Question: What does the past tell us about the future?

Area of Interaction: Health and Social
Content:
-identifying domain and range of relations
-using function notation
-graphing linear functions and interpreting the graphs
-writing equations of linear functions given certain data about the graph of the
function
-interpreting slope, x-intercept, and y-intercept in context of a real world problem
-finding an equation for the best-fitting line modeling real world data
-analyzing the accuracy of the best-fitting line to predict trends
-comparing linear, quadratic, and polynomial functions as models of real world data
Summative Assessment Tasks
• Unit Test (Criterion A)
• Track the Trends, Predict the Future? Unit Project in which students choose a health or social
issue of interest, gather data about this issue over time, model the data with a linear or
polynomial function in order to make predictions about future trends
(Criteria B, C, D)
Unit 4: Geometry of Art and Architecture
Unit Dates: Mid-Nov – Mid-Dec.
Unit Question: How do humans construct meaning and symbolism?
Area of Interaction: Human Ingenuity
Content:
-area and perimeter of regular polygons
-circumference, arc length, and area of a sector of a circle
- chords, angles, and tangents of a circle
-writing geometric proofs for circle theorems
Summative Assessment Tasks
• Investigation (Criteria B, D)
• Polygons and Circles in Architecture and the Arts (Criterion C)
• Unit Test (Criteria A, C)
Unit 5: Semester Examination
Unit Dates: Mid-Dec
Unit Question: How can I connect the knowledge, skills, and understandings from one unit of
study to the next?
Area of Interaction: Approaches to Learning
Content:
Students will review the knowledge, skills, and understandings obtained in the first four units
of the semester and apply them in a variety of situations.
Summative Assessment Tasks
• Unit Test (Criteria A, C)
Unit 6: Working with Interest
Unit Dates: January – beginning of Feb.
Unit Question: How can I make healthy economic choices?
Area of Interaction: Health and Social
Content:
-simplifying expressions using the properties of exponents
-evaluating and using rational exponents
-graphing exponential growth and decay functions
-solving real-world problems with exponential functions
-using the natural base e; evaluating logarithms
-solving exponential and logarithmic equations
Summative Assessment Tasks
• Compound Interest Investigation (Criteria B, D)

• Test over Exponential Functions (Criterion A)
• Test over Logarithmic Functions (Criterion A)
• Working with Interest Project (investments and credit cards) (Criterion C)
Unit 7: Packaging our World
Unit Dates: Mid-Feb. (2 weeks)
Unit Question: How can we make responsible choices for using our limited resources?
Area of Interaction: Environments
Content:
- surface area of prisms and cylinders
- surface area of pyramids and cones
- volume of prisms and cylinders
- volume of pyramids and cones
-surface area and volume of spheres
Summative Assessment Tasks
• Unit Project – What Shape Container Should We Use? (Criteria A, D)
• Unit Test (Criteria A, C)
Unit 8: Analyzing Data (Statistics)
Unit Dates: End-Feb– Beginning of April
Unit Question: How reliable is the interpretation of data? (Can statistics ever “lie”?)
Area of Interaction: Approaches to Learning (information literacy skills)
Content:
-collecting and organizing data in frequency distributions and histograms
-constructing and analyzing cumulative frequency histograms and ogives
-calculating and using the mean and standard deviation to compare sets of data
-apply the normal distribution (bell-shaped curve)
Summative Assessment Tasks
• Unit Test (Criterion A)
• Unit Project – Designing a Statistical Study (Criteria C, D)
Unit 9: What are My Chances? (Probability) Unit Dates: Mid-April – Mid May
Unit Question: What are the consequences associated with the gambling industry? (Should
gambling be legalized in Hawaii?)
Area of Interaction: Health and Social
Content:
-experimental and theoretical probability
-calculating the probability of mutually exclusive events
-calculating the probability of combined event
-using counting techniques to determine the probability of repeated events
-making inferences about the distribution of data given the mean and standard
deviation
-calculating conditional probability
Summative Assessment Tasks
• Unit Test (Criterion A)
• Game of Chance Project (Criteria A, C)
Unit 10: End of the Year Examination
Unit Dates: end of May
Unit Question: How can I connect the knowledge, skills, and understandings from one unit of
study to the next?
Area of Interaction: Approaches to Learning
Content:
Students will review the knowledge, skills, and understandings learned in the units we have
studied this year and apply them in a variety of situations. Emphasis will be placed on
mathematical concepts that bridge two or more units (functions, matrices, transformations,

and graphical representations of data) and on material studied second semester
(exponential and logarithmic functions, solid geometry, statistics, and probability)
Summative Assessment Tasks
• Unit Test (Criterion A)
Office hours in room 405:
Students are encouraged to use office hours to receive extra learning support. These office hours
may be changed due to scheduled faculty meetings, conferences, or unforeseen circumstances
11:00 – 12:50 and 3:00 – 3:30 everyday