Math & Reading Toolkit
High School Content Expectations (HSCEs)
Download Overview of the mathematics High School Content Expectations, new graduation requirements, and possible course sequences
MDE Revised FAQ Questions about the high school graduation requirements and content expectations are answered in this document from Michigan Department of Education.
Revised Algebra I HSCEs in Word
The Algebra I High School Content Expectations were revised slightly in Aug. 2007. This revised list is in Word so you can use it for curriculum planning.
Download The Algebra 1 HSCEs are extensive and require more time than one full year for most students. This chart shows the overlap of middle school Algebra GLCEs with the HSCEs for Algebra 1. If a district teaches the 8th grade Algebra GLCEs thoroughly, they will have accomplished a significant portion of the Algebra 1 HSCEs. Then Algebra 1 in 9th grade can begin with a short review, and move ahead quickly to cover the more extensive aspects of the Algebra 1 curriculum.
You can obtain copies of the HSCEs and tools for aligning your curriculum at the MDE Mathematics HSCE website. Copies of the middle school Grade Level Content Expectations are at the MDE Mathematics website: http://michigan.gov/mathematics. Look in the upper left corner under Curriculum and Instruction.
Test prep website for ACT: Mathematics test description, sample items, test-taking tips, calculator policy etc.
WorkKeys Applied Mathematics website: Sample items, test description, etc.
Multiplication and Division Resources
Analyzing computation difficulties This is a downloadable Microsoft Word document.
These resources can be helpful for additional lesson ideas on whole number operations:
NCTM Illuminations: Lessons on strategies for multiplication
"Thinking about multiplication facts" website at naturalmath.com
The facts that need to be memorized
Multiplication array model (applet created by Dr. Edward Kluk of Dickinson State University)
Ten Blocks: Multiplication Table
National Laboratory of Virtual Manipulatives Rectangle and Lattice Multiplication
NCTM Illuminations Product Game
NCTM Illuminations Factor Game
National Laboratory of Virtual Manipulatives Rectangle Division
Home page
Lots of applets from WisWeb Try Facts and Factors - Make Five!
Algebra I Resources
CBR2’s – Calculator-based Rangers (motion detectors) can be
borrowed from Theron Blakeslee's office for a two-week period of time. Their instruction manual has
nice suggestions for classroom activities. It comes with the CBR's, or you can get it from http://education.ti.com. This site has lots of great downloads.
Activity Chart for Families of Functions
SimCalc Mathworlds can be downloaded here.
Modeling with
Mathematics: A Bridge to Algebra II
COMAP: Cosenza,
Gray, Horn et. al.
W.H. Freeman and Company, 2006
Publisher’s representative: Janice Noll, jnoll@bfwpub.com
A Visual Approach to
Algebra
Frances Van Dyke
Dale Seymore Publications, 1998
Navigating through
Algebra in Grades 9–12 (with CD-ROM)
Maurice Burke,
David Erickson, Johnny W. Lott, and Mindy Obert
NCTM
The Virtual Mathematics Academy (VMA) is a free, online
professional development opportunity for mathematics educators. Using an
interactive, non-linear, self-directed and self-paced approach, you can learn
strategies to improve your classroom instruction. The VMA currently features
two sections: Algebra
http://teacherline.pbs.org/teacherline/academy/virtual.cfm#algebra#algebra
and Principles
http://teacherline.pbs.org/teacherline/academy/virtual.cfm#principles#principles.
In the algebra academy you can select any one of four grade bands (K-2, 3-5,
6-8 and 9-12) on which to focus your professional learning experience. Readings, video
mini-lectures, reflective questions complete with response boxes, java applets,
video clips of actual classroom
lessons in action, and viewing and analyzing student work makes this a complete
interactive experience. Make sure you click on the Representation, Modeling and
Analyzing Change links in the left-hand frame or you’ll miss 80% of the academy
instruction.
Other internet
resources:
Constructing parabolas in JavaSketchPad (uses analytic
geometry definition of parabola)
http://www.mste.uiuc.edu/dildine/sketches/parabola.htm#Window
Other Resources
Illustrative Resources for CUPM Guide, 2004
Mathematical Association of America/MMA On-line
Learning to Think Mathematically: Problem Solving, Metacognition, and Sense-making in Mathematics Alan H. Schoenfeld
Computer simulations for middle school geometry
MathCats: Fun site for math games, math art, etc.
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