Grade Ten Foundations and Pre-Calculus

Measurement

Solve problems that involve linear measurement

• Estimation 180 - Andrew Stadel

Apply proportional reasoning to problems that involve conversions between SI and imperial units of measure

• The Italian Job - Dan Meyer

Solve problems, using SI and imperial units, that involve the surface area and volume of 3-D objects

• Numerous Task Ideas - Kate Nowak
  
• Fuel Tank Problem - Dan Meyer

Develop and apply the primary trigonometric ratios (sine, cosine, tangent) to solve problems that involve right triangles.

• Looking for something that truly helps DEVELOP the trig ratios.
• How Tall - Thaddeus Wert

Algebra and Number

Demonstrate an understanding of factors of whole numbers by determining the prime factors, greatest common factor, least common multiple, square root, and cube root

• An Ode to Prime Factorization - Rachel Tabak

Demonstrate an understanding of irrational numbers

• Two Tens for a Five - Kate Nowak

Demonstrate an understanding of powers with integral and rational exponents. 

• "Proving" exponent rules - David Cox
• Radical Ruler - John Scammel

Demonstrate an understanding of the multiplication of polynomial expressions (limited to monomials, binomials and trinomials), concretely, pictorially and symbolically. 

• TBA

Demonstrate an understanding of common factors and trinomial factoring, concretely, pictorially and symbolically. 

• TBA
  

Relations and Functions

Interpret and explain the relationships among data, graphs and situations.

• TBA

Demonstrate an understanding of relations and functions. 

• TBA
  

Demonstrate an understanding of slope with respect to rise and run, line segments and lines, rate of change, parallel lines, and perpendicular lines.

• Staircases and Steepness - Fawn Nguyen
• Air Travel - Dan Meyer

Describe and represent linear relations, using words, ordered pairs, tables of values, graphs, and equations.

• Expensive Speeding Ticket - Robert Kaplinsky

Determine the characteristics of the graphs of linear relations, including the intercepts, slope, domain, range. 

• Domain and Range Drawing - Pete
• Graphing Stories - Dan Meyer

Relate linear relations expressed in slope–intercept form (y = mx + b), general form (Ax + By + C = 0), and slope–point form (y – y1=m[x – x1]) to their graphs.

• TBA

Determine the equation of a linear relation, given a graph, a point and the slope, two points, a point and the equation of a parallel or perpendicular line, to solve problems. 

• TBA

Represent a linear function, using function notation.

• TBA
  

Solve problems that involve systems of linear 
equations in two variables, graphically and 
algebraically.

• System of Equations via Football - Jason Dyer